[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-441341-105":59,"doc-detail-441341-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","geometry-end-of-course-assessment-practice-test","Geometry End-of-Course Assessment Practice Test","","Geometry End-of-Course Assessment Practice Test provides multiple-choice and fill-in geometry problems aligned with common high-school standards. 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Additional items use triangle inequality to find impossible side lengths and interpret angle measures to determine which property yields the longest line segment.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/geometry-end-of-course-assessment-practice-test/441341/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/geometry-end-of-course-assessment-practice-test/441341.png","ImageObject",300,407,{"name":92,"@type":93},"gewufjwa","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How are same-side interior angles used in the test questions?","Question",{"text":112,"@type":113},"When lines are parallel and a transversal is present, same-side interior angles are supplementary, so their measures add to 180° to set up an equation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does the test determine the type of a triangle?",{"text":117,"@type":113},"It uses congruent side markings and angle information (such as a 90° angle) and then applies the resulting classification, like isosceles, right, scalene, or obtuse scalene.",{"name":119,"@type":110,"acceptedAnswer":120},"Which formulas are required for coordinate geometry questions?",{"text":121,"@type":113},"The test uses the midpoint formula to find an endpoint coordinate and the distance formula to approximate the length of a segment between two points.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},441341,1791018984,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},3985747882900,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Geometry End-of-Course Assessment Practice Test  \nFor multiple choice items , circle the correct response. For fill-in response items, write your answer in the box provided, placing one digit in each box and no spaces between digits.  \nMA.912.G.1.3  \n1. In the figure below, what is the measure of ∠BKM?  \nLine segments AB and DE are parallel, and line segment HI is a transversal.  \nTherefore, ∠BKM and ∠KML are same-side interior angles. Since same-side interior angles are supplementary, m∡BKM + m∡KML = 180° .  \nm∠BKM + m∠KML = 180° Set up the equation.  \nm∠BKM + 32° = 180° Substitute 32° for the measure of ∡KML.  \nm∠BKM = 148° Subtract 32° from both sides of the equation.  \nAnswer: 148  \nMA.912.G.1.3  \n2. In the figure below, what is the measure of ∠MKJ?  \nA. 58˚  \nB. 82˚  \nC. 98˚  \nD. 122˚*  \nLine segments AB and DE are parallel, and line segment HI is a transversal.  \nTherefore, ∠MKJ and ∠KML are same-side interior angles. Since same-side interior angles are supplementary, m∡MKJ + m∡KML = 180° .  \nm∠MKJ + m∠KML = 180° Set up the equation.  \nm∠MKJ + 58° = 180° Substitute 58° for the measure of ∡KML.  \nm∡MKJ = 122° Subtract 58 from both sides.  \nAnswer: Choice D  \nMA.912.G.4.1  \n3. What is the most accurate name for the triangle below?  \nA. Right scalene  \nB. Obtuse isosceles  \nC. Right isosceles*  \nD. Acute scalene  \nSince segments CB and AB are congruent and AC is not, this triangle is an isosceles triangle. The markings of ∠B show that it is equal to 90˚ . So , the triangle is a right isosceles triangle.  \nAnswer: Choice C  \nMA.912.G.4.1  \n4. What type of triangle is shown below?  \nA. Equiangular  \nB. Right isosceles  \nC. Acute scalene  \nD. Obtuse scalene*  \nUsing the Triangle Sums theorem, determine the measure of the third angle. m∠A + m∠B + m∠C = 180°  \n110 + 28 + m∠C = 180°  \nm∠C = 42˚  \nSince no angles are congruent, none of the sides are congruent. Therefore, the triangle is scalene. Since one angle, ∠A, is greater than 90˚, the most accurate name for the triangle is obtuse scalene.  \nAnswer: Choice D  \nMA.912. G.1.1  \n5. PR has an endpoint at (25, -5) and a midpoint of (18, -1) . What is the value of the xcoordinate of the other endpoint?  \nUse the midpoint formula to determine the coordinates of the endpoint.  \n􀀡 x 1 + x 2 y 1 + y2 􀀢  \n􀀥􀀣  2 , 2  􀀦􀀤 = (x, y)  \n􀀢􀀦􀀤 25~~ ~~+2~~ ~~x~~ ~~2~~ ~~ , ~~ ~~−5~~ ~~+2~~ ~~y~~ ~~2~~ ~~ 􀀣􀀧􀀥 = (18, -1)  \n\n| 25~~ ~~+2~~ ~~x~~ ~~2~~ ~~ = 18\u003Cbr>25 + x2 = 36\u003Cbr>x2 = 11 | Set the expression for the xcoordinate equal to the value of the x-coordinate of the midpoint.\u003Cbr>Multiply both sides of the equation by 2.\u003Cbr>Subtract 25 from both sides of the equation. | −5 + y2  = −1 2\u003Cbr>– 5 + y2 = – 2 y2 = 3 | Set the expression for they-coordinate equal to the value of the y-coordinate of the midpoint.\u003Cbr>Multiply both sides of the equation by 2.\u003Cbr>Add 5 to both sides of the equation. |\n| --- | --- | --- | --- |\n\nThe coordinate (11, 3) represents the other endpoint. Since the question only asks you for the xcoordinate of the other endpoint, the answer is 11.  \nAnswer: 11  \nMA.912. G.1.1  \n6. TV has endpoints at (2, 10) and (18, -18) . What is the approximate length of the segment?  \nA. 29.00  \nB. 32.25*  \nC. 47.92  \nD. 49.07  \nUse the distance formula to determine the length of the segment. Substitute the coordinates of point T, (2, 10), for (x 1 , y 1) and the coordinates of point V for (x2 , y2) . Then, simplify.  \nd = (x 2 − x1 )2 + (y 2 − y1 )2 d = (18 − 2)2 + (−18 −10)2 d = (16)2 + (−28)2  \nd = (256) + (784)  \nd = 1040 d ≈ 32.25  \nAnswer: Choice B  \nMA.912.G.4.2  \n7. Look at the triangle ABC. O is the centroid.  \nWhich statement is always correct about triangle ABC?  \nA. Segments BO and OE are congruent.  \nB. Segments DF and AE are congruent.  \nC. Segments CD and BE are congruent.  \nD. Segments AE and EC are congruent. *  \nA centroid is created by constructing the medians on each side of the triangle. A median bisects the side of a triangle. Since point O is the centroid and lies on segme","cbCaicy47AdrV2o9","https://ap.wps.com/l/cbCaicy47AdrV2o9","pdf",2751135,64,"English","# Practice Problems\n## Multiple choice and fill-in items\n## Angle relationships and triangle properties\n## Coordinate geometry: midpoint and distance\n## Triangle centers: centroid and circumcenter\n## Triangle inequality and angle-based reasoning","[{\"question\":\"How are same-side interior angles used in the test questions?\",\"answer\":\"When lines are parallel and a transversal is present, same-side interior angles are supplementary, so their measures add to 180° to set up an equation.\"},{\"question\":\"How does the test determine the type of a triangle?\",\"answer\":\"It uses congruent side markings and angle information (such as a 90° angle) and then applies the resulting classification, like isosceles, right, scalene, or obtuse scalene.\"},{\"question\":\"Which formulas are required for coordinate geometry questions?\",\"answer\":\"The test uses the midpoint formula to find an endpoint coordinate and the distance formula to approximate the length of a segment between two points.\"}]","Geometry End-of-Course Assessment Practice Test | PDF",1790695654,161]