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Problems include internally tangent circles, angle-congruence conditions, shadow and height modeling, trapezoid symmetry, rotations forming cylinders, isosceles triangle side constraints, inequality regions, and practical perimeter and area calculations for polygons and prisms.",{"@graph":69,"@context":123},[70,84,106],{"@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-act-prep-questions-detailed-solutions/444490/",{"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-act-prep-questions-detailed-solutions/444490.png","ImageObject",300,407,{"name":92,"@type":93},"Putri","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-23","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are included in the ACT Geometry practice questions?","Question",{"text":113,"@type":114},"The questions cover coordinate geometry, area and perimeter, similarity and triangle properties, the Pythagorean Theorem, circles, volume, and parallel line/angle relationships.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the document handle geometric transformations like reflections and rotations?",{"text":118,"@type":114},"It includes problems where a triangle is reflected across axes and a solid created by rotating a figure around the x-axis to form a cylinder, then asks for the resulting measures.",{"name":120,"@type":111,"acceptedAnswer":121},"Are the problems presented with multiple-choice answers and solutions?",{"text":122,"@type":114},"Yes. Each question lists lettered choices, and a “SOLUTIONS” section provides step-by-step calculations for the answers.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},444490,1790893470,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":36},962085571259,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","# ACT Geometry Practice Questions(And,detailed solutions)\n\nTopics include coordinate geometry,area,perimeter,  \nsimilarity,triangle properties,Pythagorean Theorem,circles,volume,parallel lines,and more!  \nMathplane.com  \n1)The diagram shows internally tangent circles,where the inside circlepasses through the center of the large circle.What is the area of the shaded region?  \na)12  \nb)12T  \nc)36T  \nd)108T  \ne)144T  \n2)Which MUST be true?  \na)I onlyI.∠A≌∠D  \nb)I andI onlyI.∠A≌∠E  \nc)I,II,and IIⅢ.∠c≌∠F  \nd)II and II only  \ne)None  \n3)A6 foot man stands 20 feet from a light post,leaving a 10 foot shadow.The height of the light post is...  \na)12  \nb)15  \nc)18  \nd)21  \ne)24  \n4)Triangle ABO is reflected over the y-axis.  \nThen,the triangle is quadrant 2 is reflected over the x-axis.What is the perimeter of the 3 triangle area?  \na)10+15N2  \nb)15  \nc)25  \nd)30+15N2  \ne)40  \n7)The diagram represents a fenced in grazing pasture.Each north/south and east/west post is set 10 feet apart.And,the diagonal posts are northwest by southeast..What is the perimeter of the fence?  \n8)In trangle ABC,the length of the median AM is  \n5)What is the radius of circle M?  \na)15.28  \nb)30.56  \nc)48  \nd)75.39  \ne)96  \n6)What is the area of △ABC?  \na)42  \nb)45.5  \nc)72  \nd)84  \ne)91  \na)120  \nb)120+10N2  \nc)140  \nd)120+20N2  \ne)160  \na)7  \nb)5N2  \nc)2N15  \nd)8  \ne)N70  \nA(4,10)  \n| Geometry ACT Prep Questions   |\n| --- |\n\n12  \nC(8,2)  \n9)The slope of AP is  \na)-8  \nb)0  \nc)4  \nd)8  \ne)undefined  \n10)Which vertical line would cut the area of the trapezoid TRAP in half?  \na)x=6  \nb)x=8.8  \nc)x=9  \nd)x=9.75  \ne)x=10.5  \n11)If TPwere rotated around the x-axis,it would create a right cylinder.The volume of the cylinder would be  \na)36个  \nb)72个  \nc)90  \nd)108十  \ne)144个  \n12)If 2 sides of an isosceles triangle have lengths 6 and 14,then the third side must be  \na)6  \nb)8  \nc)10  \nd)14  \ne)20  \n13)The region of the system(x-4)²+y²≤4 includes:x+3y≤6  \na)A  \nb)B  \nc)C  \nd)D  \n14)The supplement of an angle is 9 more than four times its complementWhat is the measure of the angle?  \na)27  \nb)57  \nc)63  \nd)117  \ne)123  \n15)A cubical block weighs 5 pounds.If the sides are all doubled,then the new cubical block will weigh:  \na)10 pounds  \nb)15 pounds  \nc)25 pounds  \nd)40 pounds  \ne)125 poundsX  \n16)A10x24 rectangle is inscribed in a circle.What is the circumference of the circle?  \na)13T  \nb)26T  \nc)34T  \nd)68T  \ne)169T  \n17)A10\"x13\"wooden picture frame can hold an 8\"x10\"glossy photo.What is the area of the wood portion of the frame?  \na)6 sq inches  \nb)12 sq inches  \nc)24 sq inches  \nd)36 sq inches  \ne)50 sq inches  \n18)If ∠BCD is an obtuse angle,then what is the measure of ∠B?  \na)0\u003CB\u003C60  \nb)0\u003CB\u003C90  \nc)30\u003CB\u003C120  \nd)60\u003CB\u003C150  \ne)60\u003CB\u003C180  \n19)Which line could be 4x-4y =4?  \na)A  \nb)B  \nc)C  \nd)D  \ne)E  \nf)F  \n20)line m is paralle to line nthe measure of angle x is  \na)64  \nb)78  \nc)116  \nd)140  \ne)cannot be determined  \n21)the line y+6=2(x-5)intersects the x-axis at the point  \na)(5,0)  \nb)(8,0)  \nc)(0,-16)  \nd)(0,4)  \ne)(0,0)  \n22)The measures of angles A,B,Cin a triangle are in the ratio of 1:3:5.The measure of the largest angle is  \na)70°  \nb)80°0  \nc)90  \nd)100°  \ne)110°  \n23)The surface area of a rectangular prism is 206 sq.meters.  \nIf the dimensions of one base are 3x5 meters,then what is the height of the prism?  \na)7.2  \nb)8  \nc)9.4  \nd)11  \ne)13.7  \n(figure may not be drawn to scale)  \n24)The area of the shaded triangle is  \na)17  \nb)17.5  \nc)18  \nd)18.5  \ne)19  \n25)In the parallelogram,what is the coordinate (x,y)?  \na)(c,b)  \nb)(c+a,b)  \nc)(c-a,b)  \nd)(2a,b)  \ne)(2c,b)  \n26)The measure of angle T is  \na)95  \nb)100  \nc)105  \nd)110  \ne)115  \n27)The perimeter of this isosceles trapezoid is 52.  \nWhat is the area of this trapezoid?  \na)72  \nb)96  \nc)130  \nd)156  \ne)169  \nGeometry ACT Prep Questions  \nmathplane.com  \nVertices of shaded triangle:  \n(2,2)  \n(4,7)  \n(10,4)  \n1)The diagram shows internally tangent circles,where the inside circlepasses through the cent","cbCaiocTmVymfz4s","https://ap.wps.com/l/cbCaiocTmVymfz4s","pdf",874823,16,"English","# ACT Geometry Practice Questions\n## Coordinate geometry and graphs\n## Triangle, similarity, and angle relationships\n## Circles and tangent circles\n## Perimeter, area, and volume calculations","[{\"question\":\"What topics are included in the ACT Geometry practice questions?\",\"answer\":\"The questions cover coordinate geometry, area and perimeter, similarity and triangle properties, the Pythagorean Theorem, circles, volume, and parallel line/angle relationships.\"},{\"question\":\"How does the document handle geometric transformations like reflections and rotations?\",\"answer\":\"It includes problems where a triangle is reflected across axes and a solid created by rotating a figure around the x-axis to form a cylinder, then asks for the resulting measures.\"},{\"question\":\"Are the problems presented with multiple-choice answers and solutions?\",\"answer\":\"Yes. Each question lists lettered choices, and a “SOLUTIONS” section provides step-by-step calculations for the answers.\"}]","Geometry ACT Prep Questions - detailed solutions | PDF",1790708224]