{"id":12917,"date":"2021-06-13T06:15:00","date_gmt":"2021-06-13T00:45:00","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=12917"},"modified":"2022-11-23T16:40:32","modified_gmt":"2022-11-23T11:10:32","slug":"geometry-practice-questions-properties-of-triangles","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/geometry-practice-questions-properties-of-triangles\/","title":{"rendered":"GMAT Geometry Practice Questions &#8211; Properties of Triangles (Part 2)"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">7<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<p>In the last article, we explained: &#8220;Why GMAT Geometry is a weak area&#8221; for most students and how you can improve it. We explained various concepts&nbsp;of triangles and their application in GMAT like questions through various illustrative examples. As a continuation, this article covers the different types of triangles and their properties. We have also included some geometry practice questions at the end of the article. Here is how the article has been structured:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"2005\" height=\"875\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/geometry-practice-questions-gmat-geometry-problems.png\" alt=\"GMAT geometry practice questions | gmat geometry problems - Triangles\" class=\"wp-image-13036\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/geometry-practice-questions-gmat-geometry-problems.png 2005w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/geometry-practice-questions-gmat-geometry-problems-300x131.png 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/geometry-practice-questions-gmat-geometry-problems-768x335.png 768w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/geometry-practice-questions-gmat-geometry-problems-1024x447.png 1024w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/geometry-practice-questions-gmat-geometry-problems-1080x471.png 1080w\" sizes=\"(max-width: 2005px) 100vw, 2005px\" \/><\/figure>\n\n\n\n<ul><li><a href=\"#properties\">Properties of different types of triangles<\/a>\n<ul>\n<li><a href=\"#side\">Side Property<\/a><\/li>\n<li><a href=\"#angle\">Angle Property<\/a><\/li>\n<li><a href=\"#area\">Area Property<\/a><\/li>\n<li><a href=\"#special\">Special Property<\/a><\/li>\n<\/ul>\n<\/li><li><a href=\"#examples\">Takeaways &amp; Illustrative Examples<\/a><\/li><li><a href=\"#practice_questions\">Geometry Practice Questions<\/a><\/li><\/ul>\n\n\n\n<blockquote><p><em>If you haven\u2019t gone through the previous articles of this series, please browse through the following links:<\/em><\/p><ul>\n<li><a href=\"https:\/\/e-gmat.com\/blogs\/most-common-mistakes-in-gmat-geometry-questions-gmat-quant-prep\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Most common mistakes in GMAT Geometry Questions<br><\/strong><\/a><\/li>\n<li><strong><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<\/a><\/strong><strong><a href=\"https:\/\/e-gmat.com\/blogs\/gmat-geometry-formulas-concepts-on-triangles-part-1\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\"> Geometry formulas and concepts on Triangles- Part 1 <em>(covers the following)<\/em><\/a><\/strong>\n<ul>\n<li class=\"textbox\" dir=\"ltr\"><em>Identifying whether a set of given numbers could be the lengths of the three sides of a triangle<\/em><\/li>\n<li class=\"textbox\" dir=\"ltr\"><em>Range of possible values of the length of one side of a triangle given the lengths of the other two sides<\/em><\/li>\n<li class=\"textbox\" dir=\"ltr\"><em>Various properties of the angles of the triangle.<\/em><\/li>\n<\/ul>\n<\/li>\n<\/ul><p>Check out the next article in the series:&nbsp;<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><\/p><\/blockquote>\n\n\n\n<p>With the above knowledge in mind, let us now look at the different types of triangles and how their properties differ from one another. Then we will apply the learnings to two GMAT like questions.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Feel free to write to us at <a href=\"mailto:acethegmat@e-gmat.com\">acethegmat@e-gmat.com<\/a> in case you have any query.<\/p><\/blockquote>\n\n\n\n<h2 id=\"h-properties-of-different-types-of-triangles-tested-in-gmat-geometry\"><span id=\"properties\">Properties of different types of triangles tested in GMAT&nbsp;Geometry<\/span><\/h2>\n\n\n\n<p>The table given below lists down the various types of triangles and their properties that are tested on the GMAT. The triangles are sequenced in such a way that the transitions\/subtle differences in the corresponding properties are clearly visible.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>&nbsp;\n<p>&nbsp;<\/p>\n<p><strong>Properties<\/strong><\/p>\n<\/td><td><strong>Type of Triangles<\/strong><\/td><\/tr><tr><td>Scalene<\/td><td>Isosceles<\/td><td>Equilateral<\/td><td>Right-Angled<\/td><\/tr><tr><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Side Property<\/p>\n<\/td><td>\u2022 None of the sides are equal\n<p>&nbsp;<\/p>\n<p>\u2022 a \u2260 b \u2260 c \u2260 a where a, b and c are three sides of the triangle<\/p>\n<\/td><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>\u2022 Two sides are equal.<\/p>\n<p>\u2022 a \u2260 b = c, where a, b and c are the three sides of the triangle<\/p>\n<\/td><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>\u2022 All the sides are equal<\/p>\n<p>\u2022 a = b = c, where a, b and c are the three sides of the triangle.<\/p>\n<\/td><td>\u2022 Two sides forming the right angle may or may not be equal\n<p>&nbsp;<\/p>\n<p>\u2022 If they are equal, the triangle is known as an isosceles right-angled triangle<\/p>\n<\/td><\/tr><tr><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>Angle Property<\/p>\n<\/td><td>\u2022 All the angles are distinct<\/td><td>\u2022 Angles opposite to equal sides are equal.<\/td><td>\u2022 All angles are equal to 60\u00ba<\/td><td>\u2022 One of the angles is 90\u00ba<\/td><\/tr><tr><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>Area Formula<\/p>\n<\/td><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>\u2022 Area = \u00bd x base x height \u2022The above formula is applicable to triangles<\/p>\n<\/td><td>\u2022 Area = \u221a3\/4&nbsp; x a\u00b2,\n<p>&nbsp;<\/p>\n<p>where \u2018a\u2019 is the length of a side of the triangle<\/p>\n<\/td><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>\u2022 Area = (\u00bd) x base x perpendicular<\/p>\n<\/td><\/tr><tr><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Special Property<\/p>\n<\/td><td>&nbsp;<\/td><td>\u2022 The perpendicular drawn to the unequal side divides it into two equal parts.<\/td><td>\u2022 The perpendicular from any vertex divides the opposite side into 2 equal halves.<\/td><td>&nbsp;\n<p>&nbsp;<\/p>\n<p>\u2022 According to Pythagoras Theorem, c\u00b2= a\u00b2 + b\u00b2, where c is the largest side\/hypotenuse<\/p>\n<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 id=\"h-diagrammatic-representation\"><strong>Diagrammatic Representation:<\/strong><\/h5>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"1045\" height=\"338\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-1.png\" alt=\"GMAT geometry practice questions GMAT geometry problems Quant prep\" class=\"wp-image-12926\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-1.png 1045w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-1-300x97.png 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-1-768x248.png 768w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-1-1024x331.png 1024w\" sizes=\"(max-width: 1045px) 100vw, 1045px\" \/><\/figure>\n\n\n\n<p>Let us walk you through the content of the table one by one and look at the subtle differences that should be kept in mind while solving any GMAT geometry problems on triangles.<\/p>\n\n\n\n<h3 id=\"h-1-side-property\"><span id=\"side\">1. Side Property<\/span><\/h3>\n\n\n\n<ul><li><strong><em><u>None of the sides<\/u><\/em><em> of a scalene triangle is equal<\/em><\/strong><\/li><li><strong><u><\/u><em><u>Any two sides<\/u><\/em><em> of an isosceles triangle are equal<\/em><\/strong><\/li><li><strong><u><\/u><em><u>All the sides<\/u><\/em><em> of an equilateral triangle are equal<\/em><em>&nbsp;<\/em><\/strong><\/li><\/ul>\n\n\n\n<p><span style=\"text-decoration: underline;\"><strong>Note<\/strong><\/span><strong>:<\/strong> A right-angled triangle can be a scalene triangle or an isosceles triangle. It&nbsp;depends on whether the lengths of the perpendicular and the base are equal.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><em><strong>Can you tell why can\u2019t a right-angled triangle be an equilateral triangle?<\/strong><\/em><\/p><\/blockquote>\n\n\n\n<h3 id=\"h-2-angle-property\"><span id=\"angle\">2. Angle Property<\/span><\/h3>\n\n\n\n<ul><li><strong><em><u>None of the angles<\/u><\/em><em> of a scalene triangle is equal.<\/em><\/strong><\/li><li><strong><u><\/u><em><u>The two angles opposite the two equal sides<\/u><\/em><em> of an isosceles triangle are equal<\/em><\/strong><\/li><li><strong><u><\/u><em><u>All the angles<\/u><\/em><em> of an equilateral triangle are equal<\/em><\/strong><\/li><\/ul>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><em><strong>Can you notice the relation between the sides and the angles?&nbsp;<\/strong><\/em><\/p><\/blockquote>\n\n\n\n<ul><li>In a scalene triangle where none of the sides are equal, no two angles are equal<\/li><li>In an isosceles triangle where two sides are equal, the angles opposite to the equal sides are equal.<\/li><li>In an equilateral triangle where all sides are equal, all angles are equal to 60\u00ba.<\/li><\/ul>\n\n\n\n<p><strong><span style=\"text-decoration: underline;\">Note<\/span>:<\/strong> A right-angled triangle has one of its angles as 90\u00ba. Since it can be a scalene triangle or an isosceles triangle, the value of the other two angles will depend on what kind of triangle it is.<\/p>\n\n\n\n<h3 id=\"h-3-area-property-with-geometry-practice-questions\"><span id=\"area\">3. Area Property | (with Geometry Practice Questions)<\/span><\/h3>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"300\" height=\"262\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-GMAT-Quant-1-300x262.png\" alt=\"gmat geometry practice questions geomwtry problems GMAT quant\" class=\"wp-image-12935\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-GMAT-Quant-1-300x262.png 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-GMAT-Quant-1.png 669w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure>\n\n\n\n<p>The area of any triangle can be found using the formula \u2013&nbsp;<strong>Area = \u00bd x base x height<\/strong><\/p>\n\n\n\n<p>For an Equilateral triangle we sometimes use the formula given below to calculate the area quickly: <em>(Note that in an Equilateral triangle, all sides and angles are equal)<\/em><\/p>\n\n\n\n<p><strong>Area = (\u221a3\/4) * a\u00b2<\/strong><\/p>\n\n\n\n<p>Where \u2018a\u2019 is the length of each side of the triangle.<\/p>\n\n\n\n<p><strong><u>Note<\/u>:&nbsp;<\/strong>The area of an equilateral triangle or any special triangle is derived from the basic formula &#8211;<\/p>\n\n\n\n<p><strong>Area = \u00bd x base x height<\/strong><\/p>\n\n\n\n<p>Thus, if we remember this formula, it is more than enough to solve any problem related to finding the area of a triangle.<\/p>\n\n\n\n<h3 id=\"h-4-special-property-of-triangles-geometry-practice-questions-included-below\"><span id=\"special\">4. Special Property of Triangles | <em>(Geometry Practice Questions included below)<\/em><\/span><\/h3>\n\n\n\n<h5 id=\"h-isosceles-triangle\"><strong>Isosceles Triangle<\/strong><\/h5>\n\n\n\n<p>The line joining one vertex of a triangle to the midpoint of the opposite side is called a <strong>median of the triangle.&nbsp;<\/strong>In the case of an isosceles triangle, the median and the perpendicular is the same, when drawn from the vertex which joins the two equal sides.<\/p>\n\n\n\n<p>Hence, from the given diagram, we can say that line AD acts as a median, dividing the base BC into two equal halves, and that AD is also perpendicular to BC<\/p>\n\n\n\n<h5 id=\"h-right-angled-triangle\"><strong>Right Angled Triangle&nbsp;<\/strong><\/h5>\n\n\n\n<p>The Right-Angled Triangle has three sides known as the perpendicular, base, and hypotenuse. The hypotenuse is the largest side and the angle opposite to it is the largest angle and measures 90\u00ba. We can apply <strong>Pythagoras Theorem<\/strong>, to define the relationship between perpendicular, base, and hypotenuse.<\/p>\n\n\n\n<p>From the given diagram, we can write:<\/p>\n\n\n\n<p>(Hypotenuse)\u00b2 = (perpendicular)\u00b2 + (base)\u00b2<\/p>\n\n\n\n<p><strong>AC\u00b2<\/strong><strong>&nbsp;<\/strong><strong>= AB\u00b2<\/strong><strong>&nbsp;<\/strong><strong>+ BC\u00b2<\/strong><\/p>\n\n\n\n<p>Let us now understand how to apply the above-mentioned properties&nbsp;with the help of two GMAT like geometry practice questions.<\/p>\n\n\n\n<h2 id=\"h-illustrative-example-1-geometry-practice-questions\"><span id=\"examples\">Illustrative Example 1 | Geometry Practice Questions<\/span><\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"220\" height=\"225\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/06\/GMAT-geometry-practice-questions-geometry-problems-GMAT-Quant-2.png\" alt=\"gmat geometry practice questions geometry problems gmat quant\" class=\"wp-image-12936\"\/><\/figure>\n\n\n\n<p>In triangle ABC, is AC\u00b2&nbsp;= AB\u00b2 + BC\u00b2?<\/p>\n\n\n\n<ol><li>\u2220BAC + \u2220ACB = \u2220ABC<\/li><li>AB = BC<\/li><\/ol>\n\n\n\n<h4 id=\"h-explanation\"><span style=\"text-decoration: underline;\">Explanation<\/span><u>:<\/u><\/h4>\n\n\n\n<h6 id=\"h-steps-1-2-understand-question-and-draw-inferences\"><strong>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/strong><\/h6>\n\n\n\n<p><strong>To find: <\/strong>Is AC\u00b2 = AB\u00b2 + BC\u00b2?<\/p>\n\n\n\n<p>Using <strong>Pythagoras theorem<\/strong>, we know that the above is true <u>if <\/u><u>\u2220ABC=90\u00ba<\/u><\/p>\n\n\n\n<p><u>Because we can apply the property that we have learned from the table given<\/u> <u>above that<\/u> AC\u00b2 = AB\u00b2 + BC\u00b2 only when ABC is a right-angled triangle.<\/p>\n\n\n\n<h6 id=\"h-step-3-analyze-statement-1-independently\"><strong>Step 3: Analyze Statement 1 independently&nbsp;<\/strong><\/h6>\n\n\n\n<p>Statement 1 tells us that \u2220BAC + \u2220ACB = \u2220ABC<\/p>\n\n\n\n<p>Using Angle Sum Property in triangle ABC, we can write:<\/p>\n\n\n\n<p>\u2220BAC+\u2220ACB+\u2220ABC=180\u00ba<\/p>\n\n\n\n<p>Substituting the value of \u2220BAC + \u2220ACB from Statement 1, we have<\/p>\n\n\n\n<p>\u2220ABC+\u2220ABC =180\u00ba<\/p>\n\n\n\n<p>2(\u2220ABC) = 180\u00ba<\/p>\n\n\n\n<p>Therefore, \u2220ABC=90\u00ba<\/p>\n\n\n\n<p>Since we could find a unique answer to the question, <strong>Statement 1 alone is sufficient.<\/strong><\/p>\n\n\n\n<h6 id=\"h-step-4-analyze-statement-2-independently\"><strong>Step 4: Analyze Statement 2 independently&nbsp;<\/strong><\/h6>\n\n\n\n<p>Statement 2 tells us that AB = BC<\/p>\n\n\n\n<p>Using the table given above, we can see that this is a property of an isosceles triangle.<\/p>\n\n\n\n<p>Thus, <strong>triangle ABC is an isosceles triangle.<\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<p>However, we cannot conclude that ABC is a right-angled triangle because <u>not every isosceles triangle<\/u> <u>is right-angled.<\/u><\/p>\n\n\n\n<p>Hence, this statement is clearly not sufficient to solve the question. Therefore, <strong>Statement 2 is not sufficient.<\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<h6 id=\"h-step-5-analyze-both-statements-together-if-needed\"><strong>Step 5: Analyze Both Statements Together (if needed)<\/strong><\/h6>\n\n\n\n<p>Since we\u2019ve already arrived at a unique answer in Step 3, this step is not required. Answer: <strong>Option A<\/strong><\/p>\n\n\n\n<h2 id=\"h-illustrative-example-2-geometry-practice-questions\">Illustrative Example 2&nbsp;| Geometry Practice Questions<\/h2>\n\n\n\n<p>The area of an equilateral triangle is \u221a3 times the area of an isosceles triangle. If the three sides of the isosceles triangle are 5, 5 and 6. Find the length of each side of the equilateral triangle.<\/p>\n\n\n\n<ol><li>4<\/li><li>6<\/li><li>4\u221a3<\/li><li>8<\/li><li>6\u221a3<\/li><\/ol>\n\n\n\n<p><u><strong>Solution<\/strong>:<\/u><strong>&nbsp;<\/strong>From the triangle property table, we can use two properties to solve this question.<\/p>\n\n\n\n<ul><li>\n<h6><strong><u>Isosceles Special Property:<\/u><\/strong>&nbsp;<strong>The perpendicular drawn to the unequal side, divides the unequal side into 2 equal halves.<\/strong><\/h6>\n<\/li><\/ul>\n\n\n\n<p>Let\u2019s name the isosceles triangle as ABC, where AB = AC = 5 units and BC = 6 units.<\/p>\n\n\n\n<p>The perpendicular from A on BC will divide BC into 2 equal halves. So, BD = DC = 3 units<\/p>\n\n\n\n<p>Using Pythagoras Theorem, we can write AB\u00b2 = AD\u00b2 + BD\u00b2<\/p>\n\n\n\n<p>\u27f9 5\u00b2 = AD\u00b2 + 3\u00b2<\/p>\n\n\n\n<p>Therefore, <strong>AD = 4 units.<\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Area of triangle ABC = \u00bd x AD x BC = \u00bd x 4 x 6 = 12 units.<\/strong><strong>&nbsp;<\/strong><\/p>\n\n\n\n<ul><li>\n<h6><strong><u>Area of an equilateral triangle<\/u> = (<\/strong><strong style=\"color: #666666;\">\u221a3\/4<\/strong><strong>) x side\u00b2<\/strong><strong style=\"color: #666666;\">&nbsp;<\/strong><\/h6>\n<\/li><\/ul>\n\n\n\n<p>Since it is given that area of equilateral triangle = \u221a3 x area of an isosceles triangle<\/p>\n\n\n\n<p>Therefore, <strong>(\u221a3\/4) x side\u00b2<\/strong><strong>&nbsp;= \u221a3 x 12<\/strong><\/p>\n\n\n\n<p><strong>\u27f9 Side = 4\u221a3<\/strong><\/p>\n\n\n\n<p><strong>Hence, the correct answer is Option C.<\/strong><\/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-b185cb51-28c7-4e1e-98f9-3cb6652e232e\"><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<h2 id=\"h-takeaways-special-properties-of-triangles\"><span id=\"takeaways\">Takeaways &#8211; Special Properties of Triangles<\/span><\/h2>\n\n\n\n<p>We hope these questions helped you in understanding the importance of the properties of triangles and their application in GMAT context. Try to remember these properties in a methodical manner as given in the table and we are sure that you will be able to apply them successfully in all questions related to triangles.<\/p>\n\n\n\n<p>Keeping these takeaways in mind, can you solve the 2 questions?<\/p>\n\n\n\n<h2 id=\"h-gmat-geometry-practice-questions\"><span id=\"practice_questions\">GMAT Geometry Practice Questions<\/span><\/h2>\n\n\n\n<ol><li><a href=\"http:\/\/gmatclub.com\/forum\/mastering-important-concepts-in-triangles-ii-exercise-question-229750.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\"><strong>GMAT Geometry Practice Question #1<\/strong><\/a><\/li><li><a href=\"http:\/\/gmatclub.com\/forum\/mastering-important-concepts-in-triangles-ii-exercise-question-229751.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\"><strong>GMAT Geometry Practice Question #2<\/strong><\/a><\/li><\/ol>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong><em>Make sure to present your analysis for these questions. Happy Learning!<\/em><\/strong><\/p><p>In the next articles on Triangles, read about &#8220;<a href=\"https:\/\/e-gmat.com\/blogs\/geometry-practice-problems-special-properties-of-triangles\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\"><u>Special properties of Triangles tested on the GMAT&#8221;.<\/u><\/a>&nbsp;For further help and Geometry Practice Questions, take up our <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=sm&amp;utm_term=blogs_in_article\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Free Trial<\/a>. Feel free to write to us at <a href=\"mailto:acethegmat@e-gmat.com\">acethegmat@e-gmat.com<\/a>!<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>In the last article, we explained: &#8220;Why GMAT Geometry is a weak area&#8221; for most students and how you can improve it. We explained various concepts&nbsp;of triangles and their application in GMAT like questions through various illustrative examples. As a continuation, this article covers the different types of triangles and their properties. We have also [&hellip;]<\/p>\n","protected":false},"author":102406,"featured_media":0,"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":null,"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 Practice Questions - Properties of Triangles (Part 2)<\/title>\n<meta name=\"description\" content=\"Learn properties of different types of triangles - scalene, isosceles and equilateral | Side Property, Angle Property, Area Property, Special Properties. Geometry practice questions also provided. Includes all the special properties tested by the GMAT &amp; Detailed solutions to GMAT Geometry Practice Questions.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/geometry-practice-questions-properties-of-triangles\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Geometry Practice Questions - Properties of Triangles (Part 2)\" \/>\n<meta property=\"og:description\" content=\"Learn properties of different types of triangles - scalene, isosceles and equilateral | Side Property, Angle Property, Area Property, Special Properties. Geometry practice questions also provided. 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