Congruent triangles

congruent figures : two or more figures (segments, angles, triangles, etc.) that have the “same shape” and the “same size”. The diagram shows a triangle ABC. LMNB is a parallelogram where L is the midpoint of AB, M is the midpoint of AC, and N is the midpoint of BC. Prove that triangle ALM and triangle MNC are congruent. You must give reasons for each stage of your proof. (Total 3 marks) 5 Prove that triangles are congruent using the ASA Congruence Postulate and the AAS Congruence Theorem ; Use congruence postulates and theorems in real-life problems. 6 Proving Triangles are Congruent SSS and SAS. 7 If all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. Sides are congruent Congruent triangles can be rotated and/or mirror images of each other (reflected). (See Congruent triangles.) In the figure above, the two triangles have all three corresponding sides equal in length and so are still congruent, even though one is the mirror image of the other and rotated.

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Students work individually to identify pairs of congruent triangles on a grid. For each pair of congruent triangles, students describe the specific transformation that proves the triangles are congruent. They then label the congruent sides of the triangles and write statements of congruence for the triangle pairs and the congruent sides.

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Congruent Triangles (double points) A clear and accurate definition of Congruent Triangles is included. A mostly clear and mostly accurate definition of Congruent Triangles is included. Congruent Triangles is added with an incorrect or unclear definition. Congruent Triangles is not defined. Postulates (SSS, SAS, ASA, AAS) (double points) Two or more triangles are said to be congruent if their corresponding sides or angles are the side. In other words, Congruent triangles have the same shape and dimensions. Congruency is a term used to describe two objects with the same shape and size. The symbol for congruency is ≅.


Congruent Triangles: Geometry (Unit 4)This bundle contains notes, homework assignments, three quizzes, a study guide and a unit test that cover the following topics: Classifying Triangles by Sides and Angles Angles of Triangles: Triangle Angle Sum Theorem and Exterior Angle Theorem Isosceles and Equilateral Triangles Triangle Congruence: SSS ... Designers use many congruent triangles in modern art and decorating rooms. They like to keep unity around the room and congruent figures, triangles especially, pull the room together. Airplane Pilots use triangles in coordinate grids to figure out the distance of their routes. Artists use congruent triangles in their compositions.

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