Given A rectangle WXYZ in which M is the mid point of WX

Prove that ZMY is isosceles


Given that : ABCD is a rectangle and M is the mid-point of side WX.
To Prove : ZMY is an isosceles triangle.
Proof :
In ΔWMZ and ΔXYM,WZ=XY    opposite sides of a rectangle are equalMWZ=MXY   each has 900WM=MX  M is the mid-point of WXBY SAS, ΔWMZ  ΔXYMMZ=XY   by c.p.c.t.ZMY is an isosceles triangle.Hence proved.

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