Question

In the given figure PA – QB , PA ⊥ AB and QB ⊥ AB

1. prove that ∆OAP ≅ ∆OBQ
2. Is OA = OB? Give reason.​

Answer 1

Answer:

Step-by-step explanation:

Given:

PA⊥AB, QB⊥AB and PA=QB

To prove:

△OAP=△OBQ

Is OA=OB?

Proof:

In △OAP and △OBQ

PA=QB    (given)

∠POA=∠QOB    (vertically opposite angles)

∠OAP=∠OBQ=90

o

∴△OAP≅△OBQ    (From AAS congruence property)

⇒OA=OB (corresponding parts of the congruent triangles)