[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522988-105":59,"doc-detail-522988-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","altitudes-of-triangles-geometric-constructions","Altitudes of Triangles - Geometric Constructions","","This educational worksheet from Kuta Software Infinite Geometry focuses on the geometric construction of triangle altitudes and the determination of the orthocenter. Designed for students, the exercises guide learners through the step-by-step process of constructing an altitude from a specified vertex for various triangle shapes, as well as locating the orthocenter by identifying the point of concurrency for all three altitudes. By completing these problems, students enhance their spatial reasoning and precision in using geometric tools to perform accurate constructions. The document provides a structured practice platform, reinforcing key principles of triangle geometry and orthocenter properties through practical application and systematic visual exercises. 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Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCainLyurwxJ7iP","https://ap.wps.com/l/cbCainLyurwxJ7iP","pdf",47535,"English","# Geometric Construction Exercises\n## Construction of Altitudes from Vertex A\n## Locating the Orthocenter\n## Concurrent Altitudes of Triangles","[{\"question\":\"What is an altitude in a triangle?\",\"answer\":\"An altitude is a line segment through a vertex and perpendicular to the line containing the opposite side of the triangle.\"},{\"question\":\"What is the orthocenter of a triangle?\",\"answer\":\"The orthocenter is the point where all three altitudes of a triangle intersect or meet, demonstrating the property of concurrency.\"},{\"question\":\"How do you construct the altitude from a specific vertex?\",\"answer\":\"To construct an altitude, you use a compass and straightedge to create a perpendicular line from the target vertex to the line containing the opposite side.\"}]","Altitudes of Triangles - Geometric Constructions | PDF",1791426377]