CPCTC

ΔABC = ΔXYZ What You'll Learn Congruent Triangles What You'll Learn You will learn to identify corresponding parts of congruent triangles If a triangle can be translated, rotated, or reflected onto another triangle, so that all of the vertices correspond, the triangles are _________________. congruent triangles The parts of congruent triangles that “match” are called ______________. congruent parts The order of the ________ indicates the corresponding parts! ΔABC = ΔXYZ vertices

These relationships help define the congruent triangles. In the figure, ΔABC  ΔFDE. A As in a mapping, the order of the _______ indicates the corresponding parts. vertices C B Congruent Angles Congruent Sides A  F AB  FD F E D B  D BC  DE C  E AC  FE These relationships help define the congruent triangles.

If the _________________ of two triangles are congruent, then Congruent Triangles Definition of Congruent Triangles If the _________________ of two triangles are congruent, then the two triangles are congruent. corresponding parts If two triangles are _________, then the corresponding parts of the two triangles are congruent. congruent

ΔRST  ΔXYZ ΔRST  ΔXYZ. Find the value of n. Congruent Triangles ΔRST  ΔXYZ. Find the value of n. T S R Z X Y 40° (2n + 10)° 50° 90° ΔRST  ΔXYZ identify the corresponding parts corresponding parts are congruent S  Y 50 = 2n + 10 subtract 10 from both sides 1 - 28 40 = 2n divide both sides by 2 20 = n