{"id":12853,"date":"2021-06-12T05:29:00","date_gmt":"2021-06-11T23:59:00","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=12853"},"modified":"2022-11-23T16:45:53","modified_gmt":"2022-11-23T11:15:53","slug":"gmat-geometry-questions-most-common-mistakes","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/gmat-geometry-questions-most-common-mistakes\/","title":{"rendered":"GMAT Geometry Questions &#8211; Most Common Mistakes | GMAT Quant Prep"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">8<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<p>Who wouldn&#8217;t want a Q51, V45 in GMAT? For any GMAT aspirant targeting a Q51, it is essential to avoid the Quant pitfalls. Why do I use the word &#8216;Pitfall&#8217;? According to the Oxford dictionary, <em>Pitfall is&nbsp;a <strong>hidden<\/strong> or unsuspected danger or difficulty.&nbsp;<\/em>Most students, during their GMAT Quant preparation, would make mistakes without even recognizing them. You can correct those mistakes only if you are aware of them. This article, first in the series, covers the common mistakes that students make in GMAT Geometry Questions. We will also explain<\/p>\n\n\n\n<ul><li>Why students make these mistakes in GMAT Geometry Questions<\/li><li>How to avoid these mistakes<img loading=\"lazy\" class=\"wp-image-12863 aligncenter\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Common-mistakes-GMAT-Geometry-Questions-1024x518.png\" alt=\"most common mistakes in GMAT geometry questions | GMAT Quant Prep\" width=\"813\" height=\"411\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Common-mistakes-GMAT-Geometry-Questions-1024x518.png 1024w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Common-mistakes-GMAT-Geometry-Questions-300x152.png 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Common-mistakes-GMAT-Geometry-Questions-768x389.png 768w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Common-mistakes-GMAT-Geometry-Questions-1080x547.png 1080w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Common-mistakes-GMAT-Geometry-Questions.png 1195w\" sizes=\"(max-width: 813px) 100vw, 813px\" \/><\/li><\/ul>\n\n\n\n<p>Anyone who is preparing for GMAT and wants to avoid common mistakes in GMAT Quant Questions&nbsp;should go through this series\u2019 articles. In this series, we will focus on individual topics and sub-topics of Quant section of GMAT.&nbsp;We will use illustrative examples to make you aware of these pitfalls. We will also explain, how to avoid these pitfalls by refining your application of concepts. The other articles in this&nbsp; series are:<\/p>\n\n\n\n<ul><li><a href=\"https:\/\/e-gmat.com\/blogs\/gmat-geometry-formulas-concepts-on-triangles-part-1\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">GMAT Geometry Formulas and Concepts on Triangles (Part 1)<\/a><\/li><li class=\"entry-title\"><a href=\"https:\/\/e-gmat.com\/blogs\/geometry-practice-questions-properties-of-triangles\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">GMAT Geometry Practice Questions \u2013 Properties of Triangles (Part 2)<\/a><\/li><li class=\"entry-title\"><a href=\"https:\/\/e-gmat.com\/blogs\/geometry-practice-problems-gmat-special-properties-of-triangles\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Geometry Practice Problems and Special Properties of Triangles (Part 3)<\/a><\/li><\/ul>\n\n\n\n<h2 id=\"h-most-common-mistakes-in-gmat-geometry-questions\">Most Common Mistakes in GMAT Geometry Questions<\/h2>\n\n\n\n<p>This is the first article of the series \u2018GMAT Quant Pitfalls\u2019 and we will focus on \u2018common mistakes in GMAT Geometry Questions\u2019. In this article, you will read about-<\/p>\n\n\n\n<ul><li><a href=\"#Common_Pitfalls_GMAT_Geometry_Questions\">What are the common mistakes students make in the Geometry Questions?<\/a><\/li><li><a href=\"#Illustrative_Example_1\">Illustrative Example 1<\/a><\/li><li><a href=\"#Illustrative_Example_2\">Example 2<\/a><\/li><li><a href=\"#Illustrative_Example_3\">Example 3<\/a><\/li><li><a href=\"#takeaways\">Takeaways<\/a><\/li><\/ul>\n\n\n\n<h2 id=\"h-common-pitfalls-gmat-geometry-questions\"><span id=\"Common_Pitfalls_GMAT_Geometry_Questions\">Common Pitfalls &#8211; GMAT Geometry Questions<\/span><\/h2>\n\n\n\n<p>While solving Geometry questions, students tend to<\/p>\n\n\n\n<ol><li>Assume information that is not explicitly mentioned in the question.<\/li><li>Infer certain things on the basis of how the diagram \u201clooks\u201d &#8211; without applying basic concepts<\/li><\/ol>\n\n\n\n<p>We will use 3 illustrative examples to help you understand the above-mentioned pitfalls. For better understanding, we will recommend you to solve the questions before viewing the provided explanation.<\/p>\n\n\n\n<blockquote><ul>\n<li><strong>Learn how <a href=\"https:\/\/e-gmat.com\/blogs\/gmat-q50-in-3-weeks-gmat-750-with-work-study-plan\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Carrie improved from Q35 to Q50 in 3 weeks<\/a> and scored a 750 on the GMAT.<\/strong><\/li>\n<li><strong>Just like many Carrie many of you would be working professionals. Here is a <a href=\"https:\/\/e-gmat.com\/blogs\/working-professionals-gmat-study-plan-balancing-work-gmat\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">GMAT study plan for working professionals<\/a> to balance work and preparation.<\/strong><\/li>\n<\/ul><\/blockquote>\n\n\n\n<h2 id=\"h-illustrative-example-1\"><span id=\"Illustrative_Example_1\">Illustrative Example 1<\/span><\/h2>\n\n\n\n<p>ABC is a triangle, where the length of AB = 8 cm and length of BC = 6 cm. Find the value of AC =?<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"250\" height=\"203\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-1.png\" alt=\"Most Common Mistakes in GMAT Geometry Quant Questions\" class=\"wp-image-12867\"\/><\/figure>\n\n\n\n<ol><li>8 cm<\/li><li>10 cm<\/li><li>12 cm<\/li><li>14 cm<\/li><li>Cannot be determined<\/li><\/ol>\n\n\n\n<h5 id=\"h-explanation\">Explanation<strong>&nbsp;<\/strong><\/h5>\n\n\n\n<p>It is highly likely that some of you might have solved the question as shown below:<\/p>\n\n\n\n<p><em>Since the triangle ABC is a right-angled triangle, we can find the value of AC using Pythagoras Theorem. Let&#8217;s assume the length of side AC as x.<\/em><\/p>\n\n\n\n<p><em>Therefore,<\/em><\/p>\n\n\n\n<p>x<sup>2<\/sup>=6<sup>2<\/sup>+8<sup>2<\/sup><br>x<sup>2<\/sup>=100<br>(x\u221210)(x+10)=0<\/p>\n\n\n\n<p><em>Hence the value of<u> AC is 10<\/u>. Therefore, option B seems to the correct answer.<\/em><\/p>\n\n\n\n<h3 id=\"h-pitfall-identified-common-mistakes-in-gmat-geometry-questions\">Pitfall Identified \u2013 Common mistakes in GMAT Geometry Questions<\/h3>\n\n\n\n<p>Hold on a moment! Before you jump to this conclusion, take a step back and think about the following questions:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"150\" height=\"150\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-2-150x150.png\" alt=\"Most Common Mistakes in GMAT Geometry Questions \" class=\"wp-image-12868\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-2-150x150.png 150w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-2.png 282w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><\/figure>\n\n\n\n<ol><li>Why did you apply Pythagoras Theorem to solve this question?<\/li><li>Is angle B really 90\u00ba?<\/li><li>Does the figure simply \u201clook\u201d like a right-angled triangle or is any information given about the angles of A, B, and C in the question statement?<\/li><\/ol>\n\n\n\n<p>Clearly, the question doesn\u2019t tell us the value(s) of any of the angles A, B or C. Therefore, we cannot comment anything about their values just by \u201clooking\u201d at the diagram!<\/p>\n\n\n\n<p>Hence, in this case, we cannot find the value of AC, unless<u> we have more information about the triangle ABC<\/u>.<\/p>\n\n\n\n<p><u>&nbsp;<\/u><u>So the correct answer to this question is Option E<\/u><\/p>\n\n\n\n<p>Now let us see how the GMAT tests the above concept by attempting the following GMAT-like question<\/p>\n\n\n\n<h3 id=\"h-official-gmat-question-similar-to-og-qr2-72\">Official GMAT Question &#8211; Similar to OG QR2 \u2013 72<\/h3>\n\n\n\n<p>In the given figure, what is the value of angle ABE?<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"387\" height=\"401\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-3.png\" alt=\"Most Common Mistakes in GMAT Geometry Questions \" class=\"wp-image-12869\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-3.png 387w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-3-290x300.png 290w\" sizes=\"(max-width: 387px) 100vw, 387px\" \/><\/figure>\n\n\n\n<ol><li>BD and BC are the angle bisectors of angle ABC and DBE<\/li><li>angle CBE = 45\u00ba<\/li><\/ol>\n\n\n\n<h5 id=\"h-explanation-1\">Explanation<\/h5>\n\n\n\n<p>Can you tell by just looking at the diagram, which angles are 90\u00ba?<\/p>\n\n\n\n<p>If you are thinking that we cannot infer anything from the diagram, that\u2019s good! You are thinking in the right direction!<\/p>\n\n\n\n<h3 id=\"h-pitfall-identified-common-mistakes-in-gmat-geometry-questions-1\">Pitfall Identified \u2013 Common mistakes in GMAT Geometry Questions<strong>&nbsp;<\/strong><\/h3>\n\n\n\n<p>Just from the diagram, some of you might infer that angle ABC is 90\u00ba. Let us see how this affects our answer?<\/p>\n\n\n\n<p><strong>From statement 1 we can infer<\/strong>:<\/p>\n\n\n\n<p><em>If we \u201cassume\u201d that angle ABC = 90\u00ba, and approach the problem.<\/em><\/p>\n\n\n\n<p><em>Since BD is the angle bisector of ABC,&nbsp;<\/em><em>angle ABD = angle DBC = 45\u00ba<\/em><em>(since we \u201cassumed\u201d ABC = 90\u00ba<\/em><em>)<\/em><em>&nbsp;<\/em><\/p>\n\n\n\n<p><em>Also, since BC is the angle bisector of DBE, then angle DBC = angle CBE = 45\u00ba<\/em><\/p>\n\n\n\n<p><u>&nbsp;<\/u><em><u>Hence we can get the answer from statement-I.<\/u><\/em><em>&nbsp;<\/em><\/p>\n\n\n\n<p><strong>From the 2nd Statement we can infer<\/strong>:<\/p>\n\n\n\n<p><em>Since CBE = 45\u00ba<\/em><em>&nbsp;<\/em><em>and we have assumed ABC = 90\u00ba<\/em><em>,&nbsp;<\/em><em>We can write angle ABE = ABC + CBE = 135\u00ba<\/em><\/p>\n\n\n\n<p><em>Hence, we can get the answer from statement-II alone as well and thus<u> our answer would be Option D.<\/u><\/em><\/p>\n\n\n\n<p><strong>Is this approach correct?<\/strong><\/p>\n\n\n\n<p><strong>No!<\/strong><\/p>\n\n\n\n<p><strong><u>Correct way to solve:<\/u><\/strong><\/p>\n\n\n\n<p>Since the diagram does not have any information we will NOT assume anything.<\/p>\n\n\n\n<p><strong>From statement 1<\/strong> :<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p>All we can infer from the first statement is that \u2013 Angle ABD = angle DBC = angle CBE<\/p>\n\n\n\n<p><u>&nbsp;Since we do not have the actual values, statement one is insufficient to get our answer.<\/u><\/p>\n\n\n\n<p><strong>From statement 2<\/strong> :<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p>Angle CBE = 45\u00ba&nbsp;is given. But that cannot help in finding angle ABE.<\/p>\n\n\n\n<p><u>&nbsp;Hence statement 2 is also insufficient to get our answer.<\/u><\/p>\n\n\n\n<p><strong>Combining both the statements<\/strong><\/p>\n\n\n\n<p>Since, Angle ABD = angle DBC = angle CBE and CBE = 45\u00ba, we can infer that Angle ABD = angle DBC = angle CBE = 45\u00ba<\/p>\n\n\n\n<p>Angle ABE = angle (ABD + DBC + CBE) = 135\u00ba<\/p>\n\n\n\n<p><u>&nbsp;Notice that the incorrect assumption leads you to the same value for the angle as the official solution does (i.e.&nbsp;<\/u><u>angle ABE = 135\u00ba).<\/u><\/p>\n\n\n\n<p>However, when that information is assumed beforehand, we arrive at the incorrect conclusion that we can get the answer from either of the statements. This is incorrect since to arrive at the answer, both statements together need to be taken into account.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><em>The devil is in the details! Planning out the finer details of your study schedule takes you one step closer to your target GMAT score. Learn the other benefits of a <\/em><strong><a href=\"https:\/\/e-gmat.com\/blogs\/gmat-study-plan-benefits-study-plans-100-score-improvement\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">well defined study plan<\/a><\/strong><em> in this article.<\/em><\/p><cite>Save 60+ hours of GMAT preparation by crafting a well-defined study plan in just 3 steps:<\/cite><\/blockquote>\n\n\n\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/5ftgtAl_3C0? rel=0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer rel=0; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"\"><\/iframe>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-e0798e6c-1dbd-42e9-94b4-c65ffb59cfc0\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/create-study-plan\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 576, 512\"><path fill=\"currentColor\" d=\"M144.3 32.04C106.9 31.29 63.7 41.44 18.6 61.29c-11.42 5.026-18.6 16.67-18.6 29.15l0 357.6c0 11.55 11.99 19.55 22.45 14.65c126.3-59.14 219.8 11 223.8 14.01C249.1 478.9 252.5 480 256 480c12.4 0 16-11.38 16-15.98V80.04c0-5.203-2.531-10.08-6.781-13.08C263.3 65.58 216.7 33.35 144.3 32.04zM557.4 61.29c-45.11-19.79-88.48-29.61-125.7-29.26c-72.44 1.312-118.1 33.55-120.9 34.92C306.5 69.96 304 74.83 304 80.04v383.1C304 468.4 307.5 480 320 480c3.484 0 6.938-1.125 9.781-3.328c3.925-3.018 97.44-73.16 223.8-14c10.46 4.896 22.45-3.105 22.45-14.65l.0001-357.6C575.1 77.97 568.8 66.31 557.4 61.29z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Create your Personalized Study Plan<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<h2 id=\"h-illustrative-example-2-geometry-question\"><span id=\"Illustrative_Example_2\">Illustrative Example 2 &#8211; Geometry Question<\/span><\/h2>\n\n\n\n<p>ABCD is a quadrilateral as shown in the figure given below, Find the area of the quadrilateral ABCD.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"186\" height=\"187\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-4.png\" alt=\"Most Common Mistakes in GMAT Geometry Questions \" class=\"wp-image-12870\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-4.png 186w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-4-150x150.png 150w\" sizes=\"(max-width: 186px) 100vw, 186px\" \/><\/figure>\n\n\n\n<ol><li>The diagonals bisect each other at 90<sup>0<\/sup><\/li><li>The length of one of the sides is 10 cm.<\/li><\/ol>\n\n\n\n<h3 id=\"h-explanation-2\">Explanation:<strong>&nbsp;<\/strong><\/h3>\n\n\n\n<p>Many of you would think that both the statements together are sufficient to answer this Data Sufficiency question.<\/p>\n\n\n\n<p>First, you\u2019d infer that since the diagonals are perpendicular and bisect each other, the quadrilateral is either a <strong>square <\/strong>or a <strong>rhombus<\/strong>. (if you could infer this, then good job! You have started off on the right note.)<\/p>\n\n\n\n<h3 id=\"h-pitfall-identified-common-mistakes-in-gmat-geometry-questions-2\">Pitfall Identified \u2013 Common mistakes in GMAT Geometry Questions<\/h3>\n\n\n\n<p>After this inference, many test takers usually end up making the following assumption:<\/p>\n\n\n\n<ul><li><em>The angles A, B, C and D are 90\u00ba<\/em><em>&nbsp;<\/em>(based on the way the diagram \u201clooks\u201d)<\/li><\/ul>\n\n\n\n<p>We can sum up the subsequent analysis as:<\/p>\n\n\n\n<p><em>Since all angles are 90\u00ba<\/em><em>, the figure cannot be a rhombus. Therefore, it is a square and the area is Side<sup>2<\/sup>=10<sup>2<\/sup>=100<\/em><\/p>\n\n\n\n<p>These mistakes are very common among students, especially when they don\u2019t remember the basic properties of a triangle or a quadrilateral. Hence, there is a natural tendency of assuming information that is not present in the question by just looking at the diagram.<\/p>\n\n\n\n<p>This approach is <strong>INCORRECT <\/strong>and costs a lot in the examination.<\/p>\n\n\n\n<p>In this question, we cannot find the answer and therefore, the correct option is actually option E.<\/p>\n\n\n\n<p>Let\u2019s see why:<\/p>\n\n\n\n<ol><li>We can only infer that the quadrilateral could be a square or a rhombus<\/li><li>If we know that diagonals bisect each other at right angles and they are <strong><em>equal in length<\/em><\/strong>, then we could have concluded that the quadrilateral is a square!<\/li><\/ol>\n\n\n\n<p>Please remember<\/p>\n\n\n\n<ul><li>In case of a rhombus, the diagonals bisect each other at right angles, but they are not equal<\/li><li>Since we cannot say for sure whether it is square or a rhombus, therefore, we cannot find out exactly, what is the area of this quadrilateral<\/li><\/ul>\n\n\n\n<p>GMAT might tweak the question and present the data in the following way also to test us on the above concept \u2013<\/p>\n\n\n\n<p>Consider the above figure with given data \u2013 ABCD is a quadrilateral. Find the area of the quadrilateral \u2013<\/p>\n\n\n\n<ol><li>The diagonals bisect each other at&nbsp;90\u00ba and they are equal.<\/li><li>The length of each diagonal is 10 cm.<\/li><\/ol>\n\n\n\n<p><u>Can you tell me what will be the answer in this case?<\/u><\/p>\n\n\n\n<h2 id=\"h-illustrative-example-3-geometry-question\"><span id=\"Illustrative_Example_3\">Illustrative Example 3 &#8211;&nbsp;Geometry Question<\/span><\/h2>\n\n\n\n<p>A circle circumscribes the triangle ABC and length of the three sides of the triangle are 8 cm, 15 cm and 17 cm respectively.<\/p>\n\n\n\n<p>Find out the radius of the circle.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"225\" height=\"226\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-5.jpg\" alt=\"\" class=\"wp-image-12871\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-5.jpg 225w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-5-150x150.jpg 150w\" sizes=\"(max-width: 225px) 100vw, 225px\" \/><\/figure>\n\n\n\n<ol><li>4.5<\/li><li>7.5<\/li><li>8.5<\/li><li>10.5<\/li><li>Cannot be determined<\/li><\/ol>\n\n\n\n<h5 id=\"h-approach\"><u>Approach:<\/u><strong>&nbsp;<\/strong><\/h5>\n\n\n\n<p>Observe the lengths of the triangle ABC carefully. Can we infer that ABC is a right angle triangle? Yes, we can!<\/p>\n\n\n\n<p>Because it satisfies the Pythagoras theorem.<\/p>\n\n\n\n<p>Hypotenuse<sup>2<\/sup>=Perpendicular<sup>2<\/sup> + Base<sup>2<\/sup><\/p>\n\n\n\n<p>17<sup>2<\/sup> = 15<sup>2<\/sup> + 8<sup>2<\/sup><\/p>\n\n\n\n<p>Note that the above inference cannot be arrived at <u>just by looking at the diagram<\/u><\/p>\n\n\n\n<p>From our analysis,<u> we can infer that ABC is a right angled triangle.<\/u> Let us redraw the diagram using the above inference. Notice that in the diagram I did not mark the points A, B and C, as I do not know which lengths are AB, BC or CA<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"322\" height=\"290\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-6.png\" alt=\"Most Common Mistakes in GMAT Geometry Questions \" class=\"wp-image-12872\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-6.png 322w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Most-Common-Mistakes-in-GMAT-Geometry-Questions-6-300x270.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><\/figure>\n\n\n\n<p>But is it important for us to know that? No, it\u2019s not.<\/p>\n\n\n\n<p>If you know the following property of a circle \u2013<\/p>\n\n\n\n<p><em>\u201cThe <strong>diameter <\/strong>of a <strong>circle <\/strong>subtends a right angle to any point on the <strong>circle<\/strong>.\u201d<\/em><\/p>\n\n\n\n<p>You can easily conclude that 17 is the diameter of the circle. And since Radius = Diameter\/2<\/p>\n\n\n\n<p><strong>The radius of the circle = 17\/2 = 8.5<\/strong><\/p>\n\n\n\n<h2 id=\"h-takeaways\"><span id=\"takeaways\">Takeaways<\/span><\/h2>\n\n\n\n<p>Hence you can see from the above examples, that it is not a good practice to draw inferences by just looking at the diagram. Never assume anything from the figure, unless<\/p>\n\n\n\n<ol><li>It is <strong><em>explicitly stated <\/em><\/strong>in the question statement or figure OR<\/li><li>It can be <strong><em>deduced <\/em><\/strong>from the given information in the question or figure<strong>&nbsp;<\/strong><\/li><\/ol>\n\n\n\n<p>The proper approach to avoid Common Mistakes in GMAT Geometry Questions should be :<\/p>\n\n\n\n<ol><li>Observe the given data carefully<\/li><li>Derive inferences from the given data<\/li><li>Then use those inferences along with the given diagram to get to the final solution.<\/li><\/ol>\n\n\n\n<p>Keeping these takeaways in mind, can you solve the next 4 Geometry questions provided below?<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong><a href=\"https:\/\/e-gmat.com\/free-trial-registration\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_content=in_article&amp;utm_term=free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Sign up for a free trial<\/a>&nbsp;<\/strong>to get access to 10+ hours of Video Lessons, 400+ Practice Questions and 7+ Webinars and start with your GMAT Preparation!<\/p><\/blockquote>\n\n\n\n<p><em>Make sure to present your analysis for these questions. Happy Learning!<\/em><\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a>&nbsp;with more than 2400 reviews&nbsp;<\/strong>and are the only prep company that has delivered&nbsp;<a href=\"https:\/\/e-gmat.com\/blogs\/e-gmat-review\/\" target=\"_blank\" rel=\"noreferrer noopener\" data-wpel-link=\"internal\">more than 700+ scores than any other GMAT club partner<strong>.<\/strong><\/a>&nbsp;<strong>Why don\u2019t you take a free trial and judge for yourself?<\/strong><\/p><\/blockquote>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-09535e5d-ba4a-4568-aa34-66a35ccd5622\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<p>GMAT Geometry &#8211; Practice Questions:<\/p>\n\n\n\n<ul><li><a href=\"https:\/\/gmatclub.com\/forum\/common-mistakes-in-geometry-questions-exercise-question-229349.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Exercise Question 1<\/a><\/li><li><a href=\"https:\/\/gmatclub.com\/forum\/common-mistakes-in-geometry-questions-exercise-question-229350.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Practice Question 2<\/a><\/li><li><a href=\"https:\/\/gmatclub.com\/forum\/common-mistakes-in-geometry-questions-exercise-question-229352.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Exercise Question 3<\/a><\/li><li><a href=\"https:\/\/gmatclub.com\/forum\/common-mistakes-in-geometry-questions-exercise-question-229351.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Exercise Question 4<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Who wouldn&#8217;t want a Q51, V45 in GMAT? For any GMAT aspirant targeting a Q51, it is essential to avoid the Quant pitfalls. Why do I use the word &#8216;Pitfall&#8217;? According to the Oxford dictionary, Pitfall is&nbsp;a hidden or unsuspected danger or difficulty.&nbsp;Most students, during their GMAT Quant preparation, would make mistakes without even recognizing [&hellip;]<\/p>\n","protected":false},"author":102406,"featured_media":12863,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[104,94,60],"tags":[],"featured_image_src":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/Common-mistakes-GMAT-Geometry-Questions.png","author_info":{"display_name":"Suheb Hussain","author_link":"https:\/\/e-gmat.com\/blogs\/author\/syede-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>GMAT Geometry Questions - Most Common Mistakes | GMAT Quant Prep<\/title>\n<meta name=\"description\" content=\"Most Common Mistakes in GMAT Geometry Questions. 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