Question

ABCD is a parallelogram. X is the mid point of AD and Y is the mid point of BC. Prove that AYCX is a parallelogram

Answer 1

Answer:

Here is your answer Plz mark BRAINLIEST ✌

Answer 2

Step-by-step explanation:

In triangle AXY and triangle CYX,

AX=CY(X is midpoint of AD and Y is midpoint of BC).

XY=XY(Common side).

Angle XAY=Angle YCX(AY is bisector of angle A and CX is bisector of angle C).

Therefore, Triangle AXY congruent to triangleCYX.

There fore, angle YXA=angle CYX(by CPCT).

and angle AYX=angleCXY(by CPCT) .

Therefore,AY//CX.

and AX//CY.

therefore, AYCX is a parallelogram