[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-274632-105":59,"doc-detail-274632-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","shsat-math-similarity-and-ratios-practice","SHSAT Math - Similarity and Ratios - Practice","","Similarity and Ratios focuses on solving SHSAT-style problems using the properties of similar figures. It explains how similar shapes share the same proportions through a single scale factor. The material teaches readers to find missing sides by writing proportions of corresponding sides and then cross-multiplying to solve for the unknown. Guided examples and a sequence of practice problems cover both numeric similarity setups and word problems involving triangles, rectangles, scale drawings, maps, shadows, and perimeters, followed by an answer key with step-by-step guidance.",{"@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/shsat-math-similarity-and-ratios-practice/274632/",{"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/shsat-math-similarity-and-ratios-practice/274632.png","ImageObject",300,407,{"name":92,"@type":93},"Mimi","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-27","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you find a missing side in similar figures?","Question",{"text":113,"@type":114},"Set up a proportion using corresponding sides, then cross-multiply to solve for the missing length. The example illustrates writing an equation like 3/9 = 4/x and simplifying to get x.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the scale factor in similarity problems?",{"text":118,"@type":114},"The scale factor is the common ratio between corresponding sides of similar figures. It stays the same across all matched sides.",{"name":120,"@type":111,"acceptedAnswer":121},"How are word problems on similarity and ratios usually solved?",{"text":122,"@type":114},"Translate the real-world situation into matching lengths, then use proportional relationships (often involving shadows, scale drawings, maps, or enlargements) to form a proportion and solve.","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},274632,1789480368,{"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":19,"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":130,"read_time":52},2336477974920,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Practice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nSimilarity and Ratios  \n\n| Name:   | D | ate:   | S | core:   / 24 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nSimilar 􀀂gures have the same shape but different sizes. Their corresponding (match  \ning) sides are in proportion – they share one common ratio called the scale factor. To 􀀂nd a missing side, set up a proportion of corresponding sides and cross-multiply.  \n▷ Example: Two triangles are similar. The small one has a side of  \n3 matching a side of 9 in the large one. If the small one also has a side of 4, 􀀂nd the matching side. Work: Set up a proportion of corresponding sides: 39 = 4x . Cross-multiply: 3x = 9 􀀁 4 = 36, sox = 12 . ⋆ Answer: x = 12  \n3 9  \nCorresponding sides share the ratio 39 = 412 .  \n♦ Practice Problems  \nUse the similar 􀀂gures shown. Set up a proportion and solve for the missing side.  \n1. Find x: 26 = 5x .  \n5 x 2  \n2. Find x: 312 = 4x .  \n4 x 3  \n3. Find x: 410 = 6x .  \n6 x 4  \n4. Find x: 515 = x9 .  \nx 9 5  \n5. Find x: 8x = 23 .  \n2 3  \n8  \n6. Find x: 69 = x15 .  \nx 15 6  \n7. Find x: x20 = 34 .  \n3 4 x  \n8. Find x: 714 = x8 .  \nx 8 7  \n9. Find x: 1025 = 6x .  \n6 x  \n10 25  \n10. Find x: 912 = x20 .  \nx 20  \n9 12  \n11. Find x: 4x = 69 .  \n6 9  \n4 x  \n12. Find x: 58 = 15x .  \n15 x  \n5 8  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n13. Find x: 128 = x6 .  \nx 6 12  \n14. Find x: 25 = x20 .  \nx 20 2  \n♦ Word Problems  \n15. Similar triangles: 4 cm matches 12 cm. If another small side is 5 cm, 􀀂nd the matching large side. 5 x   \n4 12  \n16. A 6-ft man casts a 4-ft shadow. A tree casts a 20-ft shadow. How tall is the tree?  \n17. A scale drawing has 3 in for 18 ft. What real length does 5 in represent?  \n18. Similar rectangles: the smaller is 8 cm by 5 cm. The larger matching long side is 24 cm. Find the larger short side.  \n5  \n8  \nx  \n24  \n19. On a map, 2 inches represent 50 miles. How many miles are represented by 7 inches?  \n20. A 4 in by 6 in photo is enlarged so the 4-in side becomes 10 in. Find the new length of the 6-in side.  \n6  \n4  \nx  \n10  \n21. A model truck uses a scale where 1 inch on the model represents 24 inches on the real truck. If the model is 7 inches long, how long is the real truck?  \n22. A 4-ft mailbox casts a 3-ft shadow. At the same time, a 􀀃agpole casts an 18-ft shadow. How tall is the 􀀃agpole?  \n23. A 􀀃oor plan shows a 12-ft wall as 3 inches. On the same plan, how long should a 16-ft wall be?  \n24. Two similar signs have matching widths 5 ft and 15 ft. If the smaller sign’s perimeter is 26 ft, 􀀂nd the larger sign’s perimeter.  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.","cbCaimHTNfxu9RNX","https://ap.wps.com/l/cbCaimHTNfxu9RNX","pdf",287996,"English","# Quick Review and Helpful Hints\n## Practice Problems\n## Word Problems\n# Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"How do you find a missing side in similar figures?\",\"answer\":\"Set up a proportion using corresponding sides, then cross-multiply to solve for the missing length. The example illustrates writing an equation like 3/9 = 4/x and simplifying to get x.\"},{\"question\":\"What is the scale factor in similarity problems?\",\"answer\":\"The scale factor is the common ratio between corresponding sides of similar figures. It stays the same across all matched sides.\"},{\"question\":\"How are word problems on similarity and ratios usually solved?\",\"answer\":\"Translate the real-world situation into matching lengths, then use proportional relationships (often involving shadows, scale drawings, maps, or enlargements) to form a proportion and solve.\"}]","SHSAT Math - Similarity and Ratios - Practice | PDF"]