[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-656810-105":59,"doc-detail-656810-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","drawing-ray-diagrams-for-concave-mirrors-tutorial","Drawing Ray Diagrams for Concave Mirrors - Tutorial","","Tutorial explaining how to determine the image formed by a concave mirror using ray diagrams. The method covers step-by-step construction for an object beyond the center of the mirror, including choosing incident rays through the focal point or parallel to the principal axis, reflecting them using concave-mirror reflection rules, and locating the image as the intersection of reflected rays. It also explains virtual image formation when the object is in front of the focal point, including upright, enlarged images found by extending reflected rays backward.",{"@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":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/drawing-ray-diagrams-for-concave-mirrors-tutorial/656810/",{"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/drawing-ray-diagrams-for-concave-mirrors-tutorial/656810.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-25",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you choose incident rays to construct the image in a concave mirror?","Question",{"text":112,"@type":113},"Pick a point on the object and draw two incident rays toward the mirror: one through the focal point and one parallel to the principal axis. Mark arrowheads to show ray direction.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Where is the real image formed when the object is beyond the center of curvature?",{"text":117,"@type":113},"The reflected rays intersect between the center of curvature and the focal point, producing an inverted, reduced, real image located on the same side of the mirror as the object.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you determine a virtual image when the object is in front of the focal point?",{"text":121,"@type":113},"After reflection, rays diverge, so trace the extended reflected rays backward until they intersect. That intersection is the virtual image point; the image is upright and enlarged and lies on the other side of the mirror.","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},656810,1792971050,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":129,"read_time":52},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Tutorial: Drawing Ray Diagrams for concave mirrors  \nA method for finding the image of an object in a concave mirror is using ray diagrams.  \nThis tutorial describes how you can find the image of an object located beyond the center of the  \nmirror:  \n1. Pick a point on the top of the object and draw to incident rays traveling toward the mirror. Choose one ray so that it passes exactly through the focal point on the way to the mirror. Draw the second ray such that it travels parallel to the principal axis toward the mirror. Place arrowheads upon the rays to indicate their direction of travel.  \n2. Once the incident rays strike the mirror, reflect them according to the two rules of reflection for concave mirrors, which you verified in Part A.  \na. The ray that passes through the focal point on the way to the mirror will reflect and travel away from the mirror parallel to the principal axis. (Use a ruler to accurate draw the path) .  \nb. The ray that traveled parallel to the principal axis on the way to the mirror will reflect and travel through the focal point.  \nc. Place arrowheads upon the rays to indicate their direction of travel, and extend the rays past their point of intersection.  \n3. Mark the image of the top of the object.  \nThe image point of the top of the object is the point where the two reflected rays intersect. This is the point where all lights from the top of the object will intersect upon reflecting off the mirror. Of course, the rest of the object has an image as well and that can be obtained by applying the same three steps to another chosen point.  \n4. Repeat the process for the bottom of the object.  \nSince the bottom of the objects is located on the principal axis, a ray traveling to the mirror will be reflected in itself, and the image of that point will also lie upon the principal axis, and will bethe same distance from the mirror as the image of the top of the object. At this point the entire image can be filled in.  \nSummarizing: For an object located beyond the center of curvature, the image is located at a position between the center of curvature and the focal point. Furthermore,  \nthe image is inverted, reduced in size and real. This is the type of information that we wish to obtain from a ray diagram.  \nPractice drawing ray diagrams for the following two situations:  \na. The object is located at the center of curvature C  \nb. The object is located between C and the focal point F  \nIn all three cases described above, the image is inverted, and real, i.e. located on the same side of the mirror as the object.  \nRay diagram for the formation of a virtual image  \nIn the above diagram, the object is located in front of the focal point. Observe that in this case the light rays diverge after reflecting off the mirror. When light rays diverge after reflection, a virtual image is formed. As in the case of plane mirrors, the image location can be found by tracing all reflected rays backward until they intersect.  \nThus, the point of intersection of the extended reflected rays is the image point. Since light does not actually pass through this point (light never travels beyond the mirror), the image is referred to as virtual image.  \nObserve, that when the object is located in front of the focal point, its image is an upright and enlarged image that is located on the other side of the mirror.  \nUse the two figures below to practice constructing the image of the arrow:","cbCaiauY5zinKtoG","https://ap.wps.com/l/cbCaiauY5zinKtoG","pdf",124611,"English","# Drawing Ray Diagrams for Concave Mirrors\n## Finding a Real Image (Object Beyond the Center)\n## Locating the Image Points on the Object\n## Summary of Real-Image Characteristics\n## Practice Cases: C and Between C and F\n## Forming a Virtual Image (Object in Front of F)\n## Finding Virtual Image by Extending Reflected Rays","[{\"question\":\"How do you choose incident rays to construct the image in a concave mirror?\",\"answer\":\"Pick a point on the object and draw two incident rays toward the mirror: one through the focal point and one parallel to the principal axis. Mark arrowheads to show ray direction.\"},{\"question\":\"Where is the real image formed when the object is beyond the center of curvature?\",\"answer\":\"The reflected rays intersect between the center of curvature and the focal point, producing an inverted, reduced, real image located on the same side of the mirror as the object.\"},{\"question\":\"How do you determine a virtual image when the object is in front of the focal point?\",\"answer\":\"After reflection, rays diverge, so trace the extended reflected rays backward until they intersect. That intersection is the virtual image point; the image is upright and enlarged and lies on the other side of the mirror.\"}]","Drawing Ray Diagrams for Concave Mirrors - Tutorial | PDF"]