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CONGRUENT TRIANGLES 6.1.1 – 6.1.4 Two triangles are congruent if there is a sequence of rigid transformations that carry one onto the other. Two triangles are also congruent if they are similar figures with a ratio of similarity of 1, that is 1 1. One way to prove triangles congruent is to prove they are similar first, and then prove that the.

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MGSE9-12 G SRT 5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. KEY IDEAS 1. When proving that two triangles are similar, it is sufficient to show that two pairs of corresponding angles of the triangles are congruent. This is called Angle-Angle (AA) Similarity. Example:.

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The triangles are congruent by the Leg-Angle Congruence Theorem. Corresponding parts of congruent triangles are congruent, so ____ CD 5 ___ AE . 14. Explain why m/NMO 5 20°. Q P O N M 60° 80° 15. Calculate MR given that the perimeter of HMR is 60 centimeters. H R M 60° 60° 20 cm.

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Lesson 11-1 Congruent Triangles Corresponding parts result from a one-to-one matching of sides and angles from one figure to another. Congruent triangles have three pairs of congruent sides and three pairs of congruent angles. MATH TERMS DE EF DF ∠D ∠E ∠F Each triangle can be mapped onto the other triangle by a sequence of rigid motions..

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