[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-469475-105":59,"doc-detail-469475-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","basic-geometry-chapter-9-basic-skills","Basic Geometry - Chapter 9 - Basic Skills","","Basic Skills focuses on core geometry terminology, formulas, and foundational problem-solving. It practices identifying angles and line relationships (horizontal, vertical, parallel, perpendicular), classifying angle types (acute, obtuse, right, straight, reflex, and related terms), and naming 2D figures and solids (triangles, rectangles, parallelograms, trapezoids, squares, cubes, cylinders, rectangular solids, and pyramids). It then applies perimeter, area, circumference, and volume concepts through guided multistep exercises with units and multiple-choice answers.",{"@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/basic-geometry-chapter-9-basic-skills/469475/",{"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/basic-geometry-chapter-9-basic-skills/469475.png","ImageObject",300,407,{"name":92,"@type":93},"Fahsai","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What geometry line and angle vocabulary does the chapter require?","Question",{"text":112,"@type":113},"It uses terms such as horizontal, vertical, parallel, and perpendicular for lines, and acute, obtuse, reflex, right, and straight for angles.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which measurements are practiced in the workbook problems?",{"text":117,"@type":113},"The exercises cover perimeter, area, circumference, circle radius/diameter relationships, and volumes of solid figures.",{"name":119,"@type":110,"acceptedAnswer":120},"How do the PART I problems typically respond to questions?",{"text":121,"@type":113},"PART I includes calculator-permitted geometry questions where each answer is marked on a corresponding number grid, with many items offering multiple-choice options.","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},469475,1790816049,{"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":39,"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},549768702563,"https://ap-avatar.wpscdn.com/avatar/8000c4aa63b76e948b?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786536092046926083","# Basic Skills\n\nChapter 9  \n# Basic Geometry\n\nNote:Geometry uses many special terms.Be sure you are familiar with thevocabulary in this section before you go on.Use the formulas on page130 as needed.  \nDirections:Solve each problem.  \nFor problems 1-4,use the following terms to describe each line or pair of lines.  \nhorizontal  \nparallel  \nperpendicular  \nvertical  \nFor problems 5-12,use the following terms to describe each angle measurement.  \nobtusereflexrightstraight  \nacute  \nFor problems 13-16,use the following terms to describe each pair of angles.Then calculate the measure of ∠b in each figure.  \nadjacentcomplementarysupplementaryvertical  \n13.15.16.za=75°za=58°  \nFor problems 17-24,use the following terms to identify each plane figure.  \ntriangle  \nparallelogram  \nrectangle  \ntrapezoid  \nsquare  \n19.  \n20.  \n17.  \n18.  \nFor problems 25-27,use the following terms to fill in the blanks.areaperimetervolume  \n25.A measure of the distance around a plane figure is called the  \n26.A measure of the amount of space inside a 3-dimensional figure  \n27.A measure of the amount of surface on a plane figure is calledthe_                \n28.Find the perimeter of each figure.  \n8 in.6ft  \n15 in.6ft12 yd  \n29.Find the area of each figure above.  \nFor problems 30-33,use the following terms to fill in the blanks.circumference diameterπ(pi)radius  \n30.A measure of the distance around a circle is called the  \n31.A measure of the distance across a circle is called the  \n32.A measure of the distance from the center of a circle to its edge iscalled the.               \n33.For any circle,the ratio of the distance around the circle to thedistance across the circle is known as _                          \n34.What is the total number of degrees in a circle?  \nProblems 35-37 refer to the circle below.  \n35.Find the radius of the circle.  \n36.Calculate the circumference of the circle.  \n37.Calculate the area of the circle.  \nFor problems 38-43,use the following terms to identify each solid figure.  \ncube cylinder  \nrectangular solid  \nsquare pyramid  \n44.Find the volume of the figure in problem 41.  \n45.Find the volume of the figure in problem 42.  \nFor problems 46-51,use the following terms to identify each triangle.  \nequilateralisoscelesrightscalene  \n46.47.48.  \n49.  \n52.What is the measurement of ∠B?  \n53.Which side of the triangle is longest?  \n54.Which side of the triangle is shortest?  \n55.Are the rectangles below similar?Tell why or why not.  \n56.Are the triangles below congruent?Tell why or why not.  \n7 in.  \n(1)5²+c²=8²  \n(2)8²-5²=c²  \n(3)5²+8²=c²  \nFor problems 52-54,use triangle ABC,in which ∠A=45°and ∠C=77°.  \n12 in.  \n9 in.  \n11 in.  \n57.Which of the following expresses the Pythagorean relationship forthe triangle below?  \nAnswers are on page 146.  \n## PARTI\n\nDirections:You may use a calculator to solvethe following problems.Use the formulas onpage 130 as needed.For problems 1-3,markeach answer on the corresponding number grid.  \n1.In the illustration below,∠XOY=71.5°.Findthe measurement,in degrees,of ∠YOZ.  \n2.A square measuresinch on each side.Whatis the area of the square in square inches?  \nG E D PR A CT I C E  \n3.Find the perimeter,in meters,of anequilateral triangle that measures  \n1.35 meters on each side.  \nChoose the correct answer to each problem.  \n4.Find the perimeter,in inches,of a rectanglethat isinches long and 8 inches wide.  \n(1)  \n(2)32  \n(3)37  \n(4)42  \n(5)47  \n5.What is the area,in square inches,of therectangle in the last problem?  \n(1)80  \n(2)84  \n(3)96  \n(4)144  \n(5)168  \n6.What is the perimeter,in meters,of thetriangle below?  \n(1)9.8  \n(2)12.6  \n(3)15.4  \n(4)16.8  \n(5)19.6  \n7.Find the area,in square meters,of thetriangle in the last problem.Round youranswer to the nearest tenth of a meter.  \n(1)11.8  \n(2)12.4  \n(3)15.6  \n(4)19.6  \n(5)23.5  \n8.To the nearest inch,what is the  \ncircumference of a circular tabletop that hasa diameter of 30 inches?  \n(1)47  \n(2)83  \n(3)94  \n(4)123  \n(5)188  \n9.To the nearest square","cbCairKjoLVNimHW","https://ap.wps.com/l/cbCairKjoLVNimHW","pdf",14556736,17,"English","# Basic Skills\n## Basic Geometry\n# PART I","[{\"question\":\"What geometry line and angle vocabulary does the chapter require?\",\"answer\":\"It uses terms such as horizontal, vertical, parallel, and perpendicular for lines, and acute, obtuse, reflex, right, and straight for angles.\"},{\"question\":\"Which measurements are practiced in the workbook problems?\",\"answer\":\"The exercises cover perimeter, area, circumference, circle radius/diameter relationships, and volumes of solid figures.\"},{\"question\":\"How do the PART I problems typically respond to questions?\",\"answer\":\"PART I includes calculator-permitted geometry questions where each answer is marked on a corresponding number grid, with many items offering multiple-choice options.\"}]","Basic Geometry - Chapter 9 - Basic Skills | PDF",1790775701,43]