Question

ABCD is a square. P is the midpoint of AB and Q is the midpoint of BC. If PD
and AQ intersect at O. then the measure of ∆POQ is:
А A
P
(a) 100
(b) 90°
(0) 75
(d) 60​

Answer 1

Answer:

I arrived at one solution.

1. Prove triangles PAD & QBA congruent. (SAS Congruence axiom)

2. So, <PDA = <QAB

3. But <PDA + <APD = 90°

4. So, <QAB + <APD = 90°

5. ==> <OAP + <APO = 90°

6. ==> <AOP = 90°

7. So, <POQ = 90°

Choice B

Hope this finds your satisfaction. All the best. Have a nice time.