In the below figure if AP=BP, AQ=BQ, then AM=BM? Options: A . &nbspTrue B . &nbspFalse C . &nbspData insufficient D . &nbspCannot be determined

Answer: Option A : A In the given figure, AP = BP (Given) AQ = BQ (Given) PQ is common. So, Δ PAQ ≅ Δ PBQ (SSS rule). ⇒ ∠ APQ= ∠ BPQ (CPCT). Also,AP = BP (Given) and PM is common Hence, △ PMA ≅ △ PMB (SAS Rule) So, AM = BM

In the below figure if AP=BP, AQ=BQ, then AM=BM?

Question

In the below figure if AP=BP, AQ=BQ, then AM=BM?

Options:

A . True

B . False

C . Data insufficient

D . Cannot be determined

Answer: Option A
:
A

In the given figure,
AP = BP (Given)
AQ = BQ (Given)
PQ is common.
So,

Δ

PAQ

≅

Δ

PBQ (SSS rule).

\Rightarrow ∠

APQ=

∠

BPQ (CPCT).
Also,AP = BP (Given) and PM is common
Hence,

△

PMA

≅

△

PMB (SAS Rule)
So, AM = BM

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