[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-503963-105":59,"doc-detail-503963-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-unit-6-sbac-practice","Geometry Unit 6 - SBAC Practice","","This document serves as a comprehensive practice assessment for Unit 6 of a high school geometry curriculum, specifically aligned with Smarter Balanced Assessment Consortium (SBAC) standards. The material focuses on geometric concepts related to similar right triangles and solving for unknown sides and angles. Key topics include verifying trigonometric relationships, identifying properties of similar triangles, understanding the equivalence of trigonometric functions for complementary angles, and applying trigonometric ratios such as sine, cosine, and tangent to real-world scenarios like calculating the dimensions of ramps. Students are challenged to evaluate the validity of trigonometric statements, justify their reasoning, and solve complex problems involving trigonometric calculations. The document provides structured exercises designed to test students' mastery of standard G-SRT.6 and G-SRT.8, facilitating deep conceptual understanding through practical applications and theoretical proofs.",{"@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-unit-6-sbac-practice/503963/",{"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-unit-6-sbac-practice/503963.png","ImageObject",300,407,{"name":92,"@type":93},"Franzy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-03",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine the length of the base of a ramp with an angle of elevation of 22° and a height of 20 inches?","Question",{"text":112,"@type":113},"You can use the tangent ratio, where tan(22°) = height / base. By substituting the known values, base = 20 / tan(22°), which yields the length to the nearest unit.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the relationship between sine and cosine for complementary angles in a right triangle?",{"text":117,"@type":113},"In a right triangle, the sine of one acute angle is equal to the cosine of the other acute angle, as they are complementary and share the same ratio values in relation to the opposite and adjacent sides.",{"name":119,"@type":110,"acceptedAnswer":120},"How can you justify that two right triangles are similar?",{"text":121,"@type":113},"Two right triangles are similar if their corresponding acute angles are equal, which can be demonstrated by comparing the ratios of their corresponding sides or proving angle equivalence using trigonometric functions.","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},503963,1791756763,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24,"preview_page_count":4},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Geo U6 SBAC Practice Name   Date   Period    \nPart A: Similar Right Triangles [G-SRT.6]  \n\n| 1. For Triangle ABC, determine if each statement is true or false.\u003Cbr>12\u003Cbr>A) sin(C) = True False\u003Cbr>13\u003Cbr> 5 \u003Cbr>B) sin(C) = True False\u003Cbr>12\u003Cbr> 5 \u003Cbr>C) tan( A) = True False\u003Cbr>12\u003Cbr> 5 \u003Cbr>D) cos( A) = True False\u003Cbr>13\u003Cbr>|\n| --- |\n| 2. Triangles DEF and JKL are similar.\u003Cbr>\u003Cbr>Determine which angles, if any, have a tangent of 43 . Justify your reasoning. |\n| 3. Given cos(30􀁱) =  3 , determine the angle measure 􀁔 such that sin􀁔 =  3 . Justify your reasoning.\u003Cbr>2 2 |\n\nTracy Unified School District – Updated February 14, 2020 – Page 1  \nPart B: Solving Right Triangles [G-SRT 8]  \n\n| .\u003Cbr>4. For Triangle XYZ, find the length XY to the nearest tenth. Show your work.\u003Cbr>|\n| --- |\n| 5. Gabby is attempting to find the length of side AC. For each expression below, select Yes if the expression will give Gabby the length of side AC or No ifit will not.\u003Cbr>A) 9 tan(C) Yes No\u003Cbr>B) 9 tan(B) Yes No\u003Cbr>C) 15sin(C) Yes No\u003Cbr>D) 15cos(C) Yes No\u003Cbr>|\n| 6. Andrea is constructing a wooden ramp with angle of elevation 22° and height 20 inches. How long will the base of the ramp be? Justify your reasoning.\u003Cbr>|\n\nTracy Unified School District – Updated February 14, 2020 – Page 2","cbCaimSxRY0ApSXg","https://ap.wps.com/l/cbCaimSxRY0ApSXg","pdf",129969,"English","# Part A: Similar Right Triangles\n## Triangle ABC Verification\n## Similar Triangles DEF and JKL\n## Angle Measure Determination\n# Part B: Solving Right Triangles\n## Calculating Side Lengths\n## Trigonometric Expression Evaluation\n## Constructing a Wooden Ramp","[{\"question\":\"How do you determine the length of the base of a ramp with an angle of elevation of 22° and a height of 20 inches?\",\"answer\":\"You can use the tangent ratio, where tan(22°) = height / base. By substituting the known values, base = 20 / tan(22°), which yields the length to the nearest unit.\"},{\"question\":\"What is the relationship between sine and cosine for complementary angles in a right triangle?\",\"answer\":\"In a right triangle, the sine of one acute angle is equal to the cosine of the other acute angle, as they are complementary and share the same ratio values in relation to the opposite and adjacent sides.\"},{\"question\":\"How can you justify that two right triangles are similar?\",\"answer\":\"Two right triangles are similar if their corresponding acute angles are equal, which can be demonstrated by comparing the ratios of their corresponding sides or proving angle equivalence using trigonometric functions.\"}]","Geometry Unit 6 - SBAC Practice | PDF",1791062177]