Question

7. AB is a line segment. AX and BY are two equal line segments drawn on opposite sides of AB such that AX || YB. If AB and XY intersect at M, prove that:
(1) ∆AMX =~∆BMY (ii) AB and XY bisect each other at M​

Answer 1

Answer:

Step-by-step explanation:

AX=BY [Given]

(angle) XMA=BMY [Vertically Opposite Angles]

(angle) MXA=MYB [AX and BY are parallel]

hence, (triangle)AMX =~ (triangle)BMY