{"id":5972,"date":"2013-05-27T03:04:16","date_gmt":"2013-05-27T03:04:16","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=5972"},"modified":"2014-12-02T08:27:01","modified_gmt":"2014-12-02T08:27:01","slug":"reflecting-points-and-figures-in-geometry","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/reflecting-points-and-figures-in-geometry\/","title":{"rendered":"Reflecting Points and Figures in Geometry"},"content":{"rendered":"

Overview:\u00a0 What Are Reflecting Points?<\/strong>
\nReflecting points and images in geometry are a special type of transformation.\u00a0 Every point in the preimage corresponds exactly to every point in the reflected image.\u00a0 If a line separates the preimage and the reflected image, every point in the preimage and the reflected image will be connected by a perpendicular line.<\/p>\n

Line of Reflection<\/strong>
\nThe line between the preimage and reflected image is called a line of reflection.\u00a0 It depends on the location of the preimage and reflected image, so it does not have to be horizontal or vertical.\u00a0 \u00a0If the preimage consists of just a few points, the reflected image can be constructed using a protractor and measuring the angles between those points on either side of the line of reflection.<\/p>\n

Reflecting Figures<\/strong>
\nWhether figures are simple or complex, reflections have several features in common.\u00a0 An angle <AEH and its reflected image <A’E’H’ will have all distances, angles, and collinear points in exactly the same relationship in both figures.\u00a0 This is called the ABCD relationship between preimages and their reflected images, because angle measure, betweenness, collinearity, and distance measurement are all preserved.<\/p>\n

Shortcuts to Reflecting Figures<\/strong>
\nMost figures in geometry are not simple sets of points, but infinite numbers of points.\u00a0 In order to draw a reflected image from a preimage, shortcuts are often necessary.\u00a0 A line contains an infinite number or points, as does its reflected image.\u00a0 Therefore, a line segment and its reflected image will preserve collinearity, betweenness and distance measurement.\u00a0 A more complex preimage and its reflected image can be drawn by tracing or by using a mirror.<\/p>\n

Computer Drawing Programs<\/strong><\/p>\n

Computer programs make use of mathematical algorithms to construct any figure.\u00a0 Therefore, the relationships between the points in preimages and their reflected images can be used in equations. The angle measures, betweenness, collinearity, and distance measurement will be the same in the preimage and its reflected image.<\/p>\n

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Overview:\u00a0 What Are Reflecting Points? Reflecting points and images in geometry are a special type of transformation.\u00a0 Every point in the preimage corresponds exactly to every point in the reflected image.\u00a0 If a line separates the preimage and the reflected image, every point in the preimage and the reflected image will be connected by a […]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10],"tags":[1040,1377,1508],"class_list":["post-5972","post","type-post","status-publish","format-standard","hentry","category-geometry","tag-line-of-reflection","tag-preimage","tag-reflection"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/5972","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=5972"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/5972\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=5972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=5972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=5972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}