Congruent Triangles You will learn to identify corresponding parts of congruent triangles If a triangle can be translated, rotated, or reflected onto another triangle, so congruent triangles that all of the vertices correspond, the triangles are _________. The parts of congruent triangles that “match” are called congruent parts _______. vertices indicates the corresponding parts! The order of the ____ ΔABC = ΔXYZ
Congruent Triangles In the figure, ΔABC ΔFDE. A As in a mapping, the order of the vertices _______ indicates the corresponding parts. C Congruent Angles B Congruent Sides A F AB FD B D BC DE C E AC FE F E These relationships help define the congruent triangles. D
Congruent Triangles Definition of Congruent Triangles corresponding parts of two triangles are congruent, then If the _________ the two triangles are congruent then the corresponding parts If two triangles are _____, of the two triangles are congruent.
Congruent Triangles ΔRST ΔXYZ. Find the value of n. S Z 50° R 40° 90° T ΔRST ΔXYZ S Y Y X identify the corresponding parts are congruent 50 = 2 n + 10 subtract 10 from both sides 40 = 2 n divide both sides by 2 20 = n (2 n + 10)° 1 - 28