Question

Points x and y lie on the opposite sides AB and CD respectively of a parallelogram ABCD such that AX= that AC and XY bis ect each other . C Y .Show

Answer 1

Explanation:

In ∆ AXO and ∆ CYO

AX = CY

angle XAO = angle YCO ( as AB || DC and AC

trns. , alt. inter. angle)

angle AXO = angle CYO ( as AB || DC and XY

trns., alt. inter. angle)

( By ASA)

∆ AXO congarance ∆ CYO

therefore

AO = CO ( CPCT)

XO = YO ( CPCT)