ABCD is a square, X and Y are the points on the sides AB and DC respectively such that BY = CX. Prove that CY = BX and CBY = BCX.

Asked by Topperlearning User | 10th Aug, 2017, 12:44: PM

Expert Answer:

In the right triangles CBY and BCX

BY = CX                                 (given)

CB = BC                                 (common)

YCB = XBC                   (90o each)

CBY BCX                    (RHS congruence rule)

 CY = BX and CBY = BCX.

Answered by  | 10th Aug, 2017, 02:44: PM