Question

in figure 11.34 ABCD is a quadrilateral in which AB= AD and BC=DC diagols AC and BD intersect each other at o

Answer 1

Answer:

1- AB =AD

BC =CD

AC =AC

therefore triangleABC congruent ACD[SSS]

2-AB =AD

AO =AO angleBOC=AOD[cpct]

therefore AOB= AOD

3-angle AOB =AOD(CPCT)

But angle AOB +AOD= 180 (linear angle)

therefore angle AOB= AOD=90

So AC perpendicular on BD

4-BO= OD(cpct)

Answer 2

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