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Prove 3

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3. Prove triangles are congruent                   Given: line segment AB and CB are congruent.                               line segment AD and CD are congruent.                   Prove: Triangle ABD is congruent to triangle CBD.

Prove 2

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2. Prove triangles are congruent               Given: line segment RM and XM are congruent                            line segment QM and TM are congruent               Prove: triangle QMX is congruent to triangle TMR

Prove 1

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1. Prove triangles are congruent.          Given: Line segment CD is congruent to line segment AD                       line segment AD is the perpendicular bisector of line segment CE          Prove : Triangle CBD is congruent to triangle EBA                          

Postulates in proving triangle congruent

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1. SSS Postulate :   If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.          Example:               This photo was taken fromhttps://image.slidesharecdn.com/geometrylesson13ssspostulate-110616123747-phpapp01/95/geometry-lesson13sss-postulate-3-728.jpg?cb=1308228612.  2. SAS Postulate :   If two sided and the included angle of a triangle are congruent to two sided and the included angle of another triangle , then the two triangles are congruent.                                   Example:                 This photo was taken from https://images.slideplayer.com/14/4491094/slides/slide_6.jpg.   3. ASA Postulate :    If two angles and the included side of a triangle are ...

Methods of proving

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Congruent Image

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The said picture is presented on this page. As said it is an example of symmetric congruent image. But how can you say that the image above is congruent to the image below? We can say that the two images are the same but are they congruent? What is the difference between similarity and congruence? Do they have the same idea in some? I would like to ask you to write your thoughts about what I've written and on this picture on the comment section below.  This photo was taken from google. ( https://www.alamy.com/stock-photo-abstract-image-of-two-modern-urban-worlds-located-upside-down-to-each-170466013.html )