Select the correct answer from each drop-down menu.
Given: AC
XZ,BC XY
Prove: AB
YZ
B
Complete the proof.
с
Suppose AB YZ. By the definition of congruence, ABYZ. By the addition property of equality,
AB + BC YZ + BC. Using the given, BC = XY because of the definition of congruence. Applying the
substitution property of equality, AB + BC # YZ + XY. Applying C
to
T
AB + BC # YZ + XY,
However, we are given that AC XZ, which implies
AC = XZ by the definition of congruence. Thus, AB ≈ YZ.
