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Includes worked examples, classroom and word problems, a practice set, and an answer key with friendly explanations plus study tips for identifying line types.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/grade-3-math-chapter-9-geometry-section-94-parallel-and-perpendicular-lines/497490/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/grade-3-math-chapter-9-geometry-section-94-parallel-and-perpendicular-lines/497490.png","ImageObject",300,407,{"name":42,"@type":43},"Rainbow Cat","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-02",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",18,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you identify parallel lines in a diagram?","Question",{"text":63,"@type":64},"Parallel lines never cross and stay the same distance apart. Look for lines running side by side without touching.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does it mean when two lines are perpendicular?",{"text":68,"@type":64},"Perpendicular lines cross at a right angle of 90°. They form a “+”-shape or a square corner, and a small square corner symbol indicates 90°.",{"name":70,"@type":61,"acceptedAnswer":71},"Are perpendicular lines ever parallel?",{"text":72,"@type":64},"No. Perpendicular lines must cross at 90°, so they cannot stay the same distance apart without meeting.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},497490,1791264440,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":124,"preview_page_count":4},962090769181,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Parallleell and Perrpeendiiccuullarr Liines  \nParallel lines run alongside each other and never meet. Perpendicular lines cross at a perfect right angle (90◦ ) . Most pairs of lines fit one of those two patterns.  \n\n| Type | Definition |\n| --- | --- |\n| Parallel | Two lines that never cross and stay the same distance apart |\n| Perpendicular | Two lines that cross at a 90◦ (right) angle |\n| Intersecting | Two lines that cross (at any angle) |\n\n_ Key Concepts  \n1. Parallel lines stay the same distance apart and never touch.  \n2. Perpendicular lines cross at a perfect right angle (90◦ ) . They form a “+”-shape or a square corner.  \n3. Two lines that simply cross are intersecting. Perpendicular lines are a special case where the crossing happens at 90◦ .  \n4. Examples: railroad tracks (parallel), the corner of a book (perpendicular), the letter X (intersecting but not perpendicular) .  \nWorked Examples  \n➀ Two lines never touch and stay the same distance apart. Are they parallel or perpendicular?¬ Never touch + same distance = parallel.  \n􀀑 Answer: Parallel  \n\n| ➁ Two lines cross and form a 90◦ angle. What are they?¬ Crossing at 90◦ = perpendicular. | 􀀑 Answer: Perpendicular |\n| --- | --- |\n\n➂ Name a pair of parallel lines you see in a classroom.  \n¬ Anything that runs side-by-side without crossing: the two long edges of a desk, opposite walls, the top and bottom edges of a whiteboard.  \n􀀑 Answer: The top and bottom edges of a whiteboard  \n✎ Practice Problems  \nIdentify parallel, perpendicular, or other.  \n1. Never cross, same distance apart ⇒ ?  \n2. Cross at a 90◦ angle ⇒ ?  \n3. Cross, but not at 90◦ ⇒ ?  \n4. Railroad tracks are   .    \n5. A plus sign (+) has   lines.   \n6. The letter H has   lines.   \n[1](1 EffortlessMath.com)[ EffortlessMath.com](1 EffortlessMath.com)  \nGrade 3 Math · Chapter 9 — Geometry  \nSection 9.4  \n7. Opposite sides of a rectangle are _ _ _ _ _ .  \n8. Adjacent sides of a rectangle are _ _ _ _ _ .  \n9. Do parallel lines form an angle? (Y/N)  \n10. Can two perpendicular lines be parallel? (Y/N)  \n11. The letter T has a pair of _ _ _ _ _ lines.  \n12. Floor and wall meet at a   angle.  \nStudy Tips  \n☞ Look for the small square symbol at a corner—it means 90◦ (perpendicular) .☞ Parallel lines always go in the same direction and never get closer or farther apart.☞ In a rectangle, opposite sides are parallel and adjacent sides are perpendicular.  \n✍ Word Problems  \n1. Maya looks at the lines on a basketball court. The two sidelines run side by side and never cross. Are they parallel or perpendicular?  \nAnswer:    \n2. The horizontal and vertical bars on a window frame meet at right angles. What type of lines are they?  \nAnswer:    \n[2](2 EffortlessMath.com)[ EffortlessMath.com](2 EffortlessMath.com)  \nGrade 3 Math · Chapter 9 — Geometry  \nSection 9.4  \nAnswer Key—with Friendly Explanations  \nPractice Problems  \n1. Parallel.  \n􀀑 Answer: Parallel  \n2. Perpendicular.  \n􀀑 Answer: Perpendicular  \n3. Intersecting (but not perpendicular).  \n􀀑 Answer: Intersecting  \n4. Parallel.  \n􀀑 Answer: Parallel  \n5. Perpendicular.  \n􀀑 Answer: Perpendicular  \n6. Parallel (the two upright sides).  \n􀀑 Answer: Parallel  \n7. Parallel.  \n􀀑 Answer: Parallel  \n8. Perpendicular.  \n􀀑 Answer: Perpendicular  \n9. No — they don’t meet.  \n􀀑 Answer: No  \n10. No — perpendicular lines must cross, so they aren’t parallel.  \n􀀑 Answer: No  \n11. Perpendicular.  \n􀀑 Answer: Perpendicular  \n12. Right angle (90◦ ).  \n􀀑 Answer: Right (90◦)  \nWord Problems  \n1. Side by side, never cross = parallel.  \n􀀑 Answer: Parallel  \n2. Cross at 90◦ = perpendicular.  \n􀀑 Answer: Perpendicular  \n[3](3 EffortlessMath.com)[ EffortlessMath.com](3 EffortlessMath.com)  \nWant a Complete Grade 3 Math Program?  \nCheck Out Our Colorado CMAS Grade 3 Math Bundle!  \nColorado CMAS Grade 3 Math Bundle  \nPractice tests, complete answer keys, and step-by-step explanations  \nEverything a third grader needs to feel ready!  \nTests + Answer Keys One Bundle  \nFind it online:  \n[https://www.effort","cbCaiimN26e6wzeo","https://ap.wps.com/l/cbCaiimN26e6wzeo","pdf",426445,"English","# Key Concepts\n## Parallel lines\n## Perpendicular lines\n## Intersecting lines\n# Worked Examples\n# Practice Problems\n# Study Tips\n# Word Problems\n# Answer Key","[{\"question\":\"How do you identify parallel lines in a diagram?\",\"answer\":\"Parallel lines never cross and stay the same distance apart. Look for lines running side by side without touching.\"},{\"question\":\"What does it mean when two lines are perpendicular?\",\"answer\":\"Perpendicular lines cross at a right angle of 90°. They form a “+”-shape or a square corner, and a small square corner symbol indicates 90°.\"},{\"question\":\"Are perpendicular lines ever parallel?\",\"answer\":\"No. Perpendicular lines must cross at 90°, so they cannot stay the same distance apart without meeting.\"}]","Grade 3 Math - Chapter 9 - Geometry - Section 9.4 - Parallel and Perpendicular Lines | PDF",1790957670]