{"id":3875,"date":"2013-08-26T13:48:56","date_gmt":"2013-08-26T20:48:56","guid":{"rendered":"https:\/\/magoosh.com\/gmat\/?p=3875"},"modified":"2024-06-03T16:46:08","modified_gmt":"2024-06-03T23:46:08","slug":"gmat-quant-coordinate-geometry-practice-questions","status":"publish","type":"post","link":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/","title":{"rendered":"GMAT Quant: Coordinate Geometry Practice Questions"},"content":{"rendered":"<p>For more information on <b>Coordinate Geometry<\/b> on the GMAT, see these articles:<\/p>\n<p>1) <a href=\"https:\/\/magoosh.com\/gmat\/quadrants-on-the-gmat-the-cartesian-plane\/\">Quadrants in the x-y Plane<\/a><\/p>\n<p>2) <a href=\"https:\/\/magoosh.com\/gmat\/gmat-math-special-properties-of-the-line-y-x\/\">Special Properties of y = x<\/a><\/p>\n<p>3) <a href=\"https:\/\/magoosh.com\/gmat\/gmat-math-lines-slope-in-the-x-y-plane\/\">Slopes<\/a><\/p>\n<p>4) <a href=\"https:\/\/magoosh.com\/gmat\/gmat-math-midpoints-and-parallel-vs-perpendicular-lines\/\">Midpoints and Parallel &amp; Perpendicular lines<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Here are five new practice problems on these topics.<\/p>\n<p>1. The center of circle Q is on the y-axis, and the circle passes through points (0, 7) and (0, \u20131).\u00a0 Circle Q intersects the positive x-axis at (p, 0).\u00a0 What is the value of p?<\/p>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img1.png\"><img decoding=\"async\" class=\"alignnone size-full wp-image-3876\" alt=\"cgpq_img1\" src=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img1.png\" width=\"68\" height=\"158\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img2.png\"><img decoding=\"async\" class=\"alignnone size-full wp-image-3877\" alt=\"cgpq_img2\" src=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img2.png\" width=\"546\" height=\"388\" srcset=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img2.png 546w, https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img2-300x213.png 300w\" sizes=\"(max-width: 546px) 100vw, 546px\" \/><\/a><\/p>\n<p>2. In the diagram above, coordinates are given for three of the vertices of quadrilateral ABCD.\u00a0 Does quadrilateral ABCD have an area greater than 30?<\/p>\n<p>Statement #1: point B has an x-coordinate of 4<\/p>\n<p>Statement #2: quadrilateral ABCD is a parallelogram<\/p>\n<p>3. In the x-y plane, point F = (3, \u20132).\u00a0\u00a0 Point G is at (3, k), where k is an integer such that 5 \u2264 k \u2264 40.\u00a0 If FG is to form the side of a square, how many different square can be created?<\/p>\n<ul>\n\t(A) 35<br \/>\n\t(B) 36<br \/>\n\t(C) 70<br \/>\n\t(D) 72<br \/>\n\t(E) 140\n<\/ul>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img3.png\"><img decoding=\"async\" class=\"alignnone size-full wp-image-3878\" alt=\"cgpq_img3\" src=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img3.png\" width=\"255\" height=\"155\" \/><\/a><\/p>\n<p>4. In the coordinate system above, which of the following is the equation of line p?<\/p>\n<ul>\n\t(A) 3x + 7y = 18<br \/>\n\t(B) 7x + 3y = 18<br \/>\n\t(C) 3x \u2013 7y = 18<br \/>\n\t(D) 7x \u2013 3y = 18<br \/>\n\t(E) 3x + 7y = \u201318\n<\/ul>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img4.png\"><img decoding=\"async\" class=\"alignnone  wp-image-3879\" alt=\"cgpq_img4\" src=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img4.png\" width=\"563\" height=\"378\" srcset=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img4.png 694w, https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img4-300x201.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/a><\/p>\n<p>5. The graph above shows line H.\u00a0 Line J (not shown) does not pass through the first quadrant.\u00a0 Which of the following could be true?<\/p>\n<p>I.\u00a0 line J is perpendicular to line H<\/p>\n<p>II.\u00a0 line J is parallel to line H<\/p>\n<p>III.\u00a0 line J intersect line H in the third quadrant<\/p>\n<ul>\n\t(A) I only<br \/>\n\t(B) II only<br \/>\n\t(C) I and II only<br \/>\n\t(D) I and III only<br \/>\n\t(E) I, II, and III\n<\/ul>\n<p>If would like to express anything, or have any question, please let us know in the comments section below!<\/p>\n<h2><\/h2>\n<h2>Solutions to the Practice Problems<\/h2>\n<p>1) The center of the circle must be halfway between (0, 7) and (0, \u20131), at the point C = \u00a0(0, 3).\u00a0 We know the radius is 4.\u00a0 Now consider what this looks like:<\/p>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img5.png\"><img decoding=\"async\" class=\"alignnone size-full wp-image-3880\" alt=\"cgpq_img5\" src=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img5.png\" width=\"420\" height=\"422\" srcset=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img5.png 420w, https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img5-150x150.png 150w, https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img5-298x300.png 298w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><\/a><\/p>\n<p>Here C = (0, 3) is the center.\u00a0 From C to (0, 7) is a radius of 4, and from C to (0, \u20131) is also a radius of 4.\u00a0 Well, AC is another radius, so this also has a length AC = 4.\u00a0 Notice, now, that OCA is a right triangle.\u00a0 We know that OC = 3 and AC = 4<\/p>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img6.png\"><img decoding=\"async\" class=\"alignnone size-full wp-image-3881\" alt=\"cgpq_img6\" src=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img6.png\" width=\"182\" height=\"232\" \/><\/a><\/p>\n<p>Answer = <b>D<\/b><\/p>\n<p>2) In this problem, the lower triangle ACD has a base of AC = 8, and a height, from the origin down to D, of 4.\u00a0 Therefore, the area of ACD = (1\/2)(b)(h) = (1\/2)(8)(4) = 16.\u00a0 We would need to know something about the upper triangle ABC to know the answer to the prompt question.\u00a0 We know the base of triangle ABC, AC = 8, but we don&#8217;t know anything about the height.<\/p>\n<p><span style=\"text-decoration: underline\">Statement #1<\/span>: if we know the x-coordinate of point B, that doesn&#8217;t help us.\u00a0 We still know the base AC = 8, but we don&#8217;t know the height, only the vertical line along which point B will lie.\u00a0 Any height could be possible.\u00a0 This statement, alone and by itself, is <b>insufficient<\/b>.<\/p>\n<p>Statement #2: the diagonal of any parallelogram (i.e. the line connecting two opposite vertices) divides it into two congruent triangles.\u00a0 Well, if ABCD is a parallelogram, then line AC is a diagonal, which means triangles ADC and ABD must be congruent and have equal area.\u00a0 This would allow us to calculate the total area and answer the prompt question.\u00a0\u00a0 This statement, alone and by itself, is <b>sufficient<\/b>.<\/p>\n<p>Answer = <b>B<\/b><\/p>\n<p>3) <span style=\"text-decoration: underline\">Idea #1<\/span>: <a href=\"https:\/\/magoosh.com\/gmat\/inclusive-counting-on-the-gmat\/\">inclusive counting<\/a>.\u00a0\u00a0 From 5 to 40 inclusive, there are not 35, but <b>36<\/b> values.<\/p>\n<p><span style=\"text-decoration: underline\">Idea #2<\/span>: The points F &amp; G have the same x-coordinates, so FG must be a <span style=\"text-decoration: underline\">vertical<\/span> segment.<\/p>\n<p>There are 36 possible vertical segments.\u00a0 Any square with sides parallel to the x- &amp; y-axes has two vertical sides and two horizontal sides.\u00a0\u00a0 The vertical segment FG could be the right side or the left side of the square, so for any vertical segment there are two possible squares.<\/p>\n<p>(36 segments) x (2 possible squares) = 72 squares<\/p>\n<p>Answer = <b>D<\/b><\/p>\n<p>4) First of all, line p clearly has a negative slope.\u00a0 If the slope is negative, that means the x &amp; y have <i>opposite<\/i> sign coefficients when written in slope-intercept form (i.e. y = mx + b).\u00a0 Thus, if we move the x to the opposite side, so that the x &amp; y are on the same side, then they will have to have the <i>same<\/i> sign coefficients.\u00a0 The x &amp; y coefficients could be both positive or both negative.\u00a0 The latter is not an option among the answer choices.\u00a0\u00a0 We must have a plus-sign, so answers <b>(C)<\/b> &amp; <b>(D)<\/b> are out right away.<\/p>\n<p>Notice the x intercept is approximately (6, 0) &#8212;- it could be exactly equal to that, or approximately equal to that.\u00a0 Plug this in to the three remaining choices, and see what happens.<\/p>\n<p><b>(A) <\/b>3(6) + 7(0) = 18 <b>YES, exactly true<\/b><\/p>\n<p><b>(B)<\/b> 7(6) + 3(0) \u2260 18 <b>no, not even close<\/b><\/p>\n<p><b>(E) <\/b>3(6) + 7(0) = \u201318<b> no, not even close<\/b><\/p>\n<p>Answer = <b>A<\/b><\/p>\n<p>5) If line J does not pass through first quadrant, then it must be a line with a n<span style=\"text-decoration: underline\">egative slope<\/span> and a <span style=\"text-decoration: underline\">negative y-intercept<\/span>.\u00a0 Such a line could be perpendicular to line H:<\/p>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img7.png\"><img decoding=\"async\" class=\"alignnone  wp-image-3882\" alt=\"cgpq_img7\" src=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img7.png\" width=\"550\" height=\"513\" srcset=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img7.png 611w, https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img7-300x279.png 300w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/a><\/p>\n<p>Therefore, <b>Statement I is<\/b> <b>possible<\/b>.<\/p>\n<p>Line H has a positive slope, and line J must have a negative slope, so there is absolutely no way for them to have the <span style=\"text-decoration: underline\">same<\/span> slope.\u00a0 They absolutely cannot be parallel.\u00a0 Therefore, <b>Statement II is<\/b> <b>impossible<\/b>.<\/p>\n<p>Both line H and line J pass through QIII, so there&#8217;s no reason they cannot intersect there.\u00a0 For example:<\/p>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img8.png\"><img decoding=\"async\" class=\"alignnone  wp-image-3883\" alt=\"cgpq_img8\" src=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img8.png\" width=\"575\" height=\"456\" srcset=\"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img8.png 719w, https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img8-300x237.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/a><\/p>\n<p>Therefore, <b>Statement III is possible<\/b>.<\/p>\n<p>Answer = <b>D<\/b><\/p>\n<p>&nbsp;<\/p>\n<h4>Special Note:<\/h4>\n<p>To find out where coordinate geometry sits in the &#8220;big picture&#8221; of GMAT Quant, and what other Quant concepts you should study, check out our post entitled:<\/p>\n<p><a href=\"https:\/\/magoosh.com\/gmat\/what-kind-of-math-is-on-the-gmat-breakdown-of-quant-concepts-by-frequency\/\">What Kind of Math is on the GMAT? Breakdown of Quant Concepts by Frequency<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For more information on Coordinate Geometry on the GMAT, see these articles: 1) Quadrants in the x-y Plane 2) Special Properties of y = x 3) Slopes 4) Midpoints and Parallel &amp; Perpendicular lines &nbsp; Here are five new practice problems on these topics. 1. The center of circle Q is on the y-axis, and [&hellip;]<\/p>\n","protected":false},"author":26,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[124],"tags":[],"ppma_author":[13209],"class_list":["post-3875","post","type-post","status-publish","format-standard","hentry","category-geometry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.7 (Yoast SEO v21.7) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>GMAT Quant: Coordinate Geometry Practice Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Quant: Coordinate Geometry Practice Questions\" \/>\n<meta property=\"og:description\" content=\"For more information on Coordinate Geometry on the GMAT, see these articles: 1) Quadrants in the x-y Plane 2) Special Properties of y = x 3) Slopes 4) Midpoints and Parallel &amp; Perpendicular lines &nbsp; Here are five new practice problems on these topics. 1. 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The center of circle Q is on the y-axis, and [&hellip;]","og_url":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/","og_site_name":"Magoosh Blog \u2014 GMAT\u00ae Exam","article_publisher":"https:\/\/www.facebook.com\/MagooshGMAT\/","article_published_time":"2013-08-26T20:48:56+00:00","article_modified_time":"2024-06-03T23:46:08+00:00","og_image":[{"url":"https:\/\/magoosh.com\/gmat\/files\/2013\/08\/cgpq_img1.png"}],"author":"Mike M\u1d9cGarry","twitter_card":"summary_large_image","twitter_creator":"@MagooshGMAT","twitter_site":"@MagooshGMAT","twitter_misc":{"Written by":"Mike M\u1d9cGarry","Est. reading time":"7 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/#article","isPartOf":{"@id":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/"},"author":{"name":"Mike M\u1d9cGarry","@id":"https:\/\/magoosh.com\/gmat\/#\/schema\/person\/320346c205075513344435baf9b0521b"},"headline":"GMAT Quant: Coordinate Geometry Practice Questions","datePublished":"2013-08-26T20:48:56+00:00","mainEntityOfPage":{"@id":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/"},"wordCount":914,"commentCount":5,"publisher":{"@id":"https:\/\/magoosh.com\/gmat\/#organization"},"articleSection":["GMAT Geometry"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/","url":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/","name":"GMAT Quant: Coordinate Geometry Practice Questions","isPartOf":{"@id":"https:\/\/magoosh.com\/gmat\/#website"},"datePublished":"2013-08-26T20:48:56+00:00","breadcrumb":{"@id":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/magoosh.com\/gmat\/gmat-quant-coordinate-geometry-practice-questions\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/magoosh.com\/gmat\/"},{"@type":"ListItem","position":2,"name":"GMAT Quant: Coordinate Geometry Practice Questions"}]},{"@type":"WebSite","@id":"https:\/\/magoosh.com\/gmat\/#website","url":"https:\/\/magoosh.com\/gmat\/","name":"Magoosh Blog \u2014 GMAT\u00ae Exam","description":"Everything you need to know about the GMAT","publisher":{"@id":"https:\/\/magoosh.com\/gmat\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/magoosh.com\/gmat\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/magoosh.com\/gmat\/#organization","name":"Magoosh","url":"https:\/\/magoosh.com\/gmat\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/magoosh.com\/gmat\/#\/schema\/logo\/image\/","url":"https:\/\/magoosh.com\/gmat\/files\/2019\/04\/Magoosh-logo-purple-60h.png","contentUrl":"https:\/\/magoosh.com\/gmat\/files\/2019\/04\/Magoosh-logo-purple-60h.png","width":265,"height":60,"caption":"Magoosh"},"image":{"@id":"https:\/\/magoosh.com\/gmat\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/MagooshGMAT\/","https:\/\/twitter.com\/MagooshGMAT"]},{"@type":"Person","@id":"https:\/\/magoosh.com\/gmat\/#\/schema\/person\/320346c205075513344435baf9b0521b","name":"Mike M\u1d9cGarry","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/magoosh.com\/gmat\/#\/schema\/person\/image\/15a1e36ef1c2c3940179212433de141a","url":"https:\/\/secure.gravatar.com\/avatar\/6b06de81592cd77bb46aa560cc59aee179cba4d042835c3529221ea1b344cce0?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/6b06de81592cd77bb46aa560cc59aee179cba4d042835c3529221ea1b344cce0?s=96&d=mm&r=g","caption":"Mike M\u1d9cGarry"},"description":"Mike holds an A.B. in Physics (graduating magna cum laude) and an M.T.S. in Religions of the World, both from Harvard. Beyond standardized testing, Mike has over 20 years of both private and public high school teaching experience specializing in math and physics. In his free time, Mike likes smashing foosballs into orbit, and despite having no obvious cranial deficiency, he insists on rooting for the NY Mets. Learn more about the GMAT through Mike's Youtube video explanations.","sameAs":["https:\/\/www.youtube.com\/c\/MagooshGMATChannel\/featured"],"award":["Magna cum laude from Harvard"],"knowsAbout":["GMAT"],"knowsLanguage":["English"],"jobTitle":"Content Creator","worksFor":"Magoosh","url":"https:\/\/magoosh.com\/gmat\/author\/mikemcgarry\/"}]}},"authors":[{"term_id":13209,"user_id":26,"is_guest":0,"slug":"mikemcgarry","display_name":"Mike M\u1d9cGarry","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/6b06de81592cd77bb46aa560cc59aee179cba4d042835c3529221ea1b344cce0?s=96&d=mm&r=g","user_url":"","last_name":"M\u1d9cGarry","first_name":"Mike","description":"Mike served as a GMAT Expert at Magoosh, helping create hundreds of lesson videos and practice questions to help guide GMAT students to success. He was also featured as \"member of the month\" for over two years at <a href=\"https:\/\/gmatclub.com\/blog\/2012\/09\/mike-mcgarrys-gmat-experience\/\" rel=\"noopener noreferrer\">GMAT Club<\/a>. Mike holds an A.B. in Physics (graduating <em>magna cum laude<\/em>) and an M.T.S. in Religions of the World, both from Harvard. Beyond standardized testing, Mike has over 20 years of both private and public high school teaching experience specializing in math and physics. In his free time, Mike likes smashing foosballs into orbit, and despite having no obvious cranial deficiency, he insists on rooting for the NY Mets. Learn more about the GMAT through Mike's <a href=\"https:\/\/www.youtube.com\/c\/MagooshGMATChannel\/featured\" rel=\"noopener noreferrer\">Youtube <\/a>video explanations and resources like <a href=\"https:\/\/magoosh.com\/gmat\/whats-a-good-gmat-score\/\" rel=\"noopener noreferrer\">What is a Good GMAT Score?<\/a> and the <a href=\"https:\/\/magoosh.com\/gmat\/gmat-diagnostic-test\/\" rel=\"noopener noreferrer\">GMAT Diagnostic Test<\/a>."}],"_links":{"self":[{"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/posts\/3875","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/users\/26"}],"replies":[{"embeddable":true,"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/comments?post=3875"}],"version-history":[{"count":0,"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/posts\/3875\/revisions"}],"wp:attachment":[{"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/media?parent=3875"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/categories?post=3875"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/tags?post=3875"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/magoosh.com\/gmat\/wp-json\/wp\/v2\/ppma_author?post=3875"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}