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State whether the following statement is true or false.
Let line $l$ is the bisector of an angle $∠ A$ and B is any point on $l$ . If BP and BQ are perpendiculars from B to the arms of $∠ A$ (see figure), then $Δ A P B ≅ Δ A Q B .$

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True

False

answer is A.

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Detailed Solution

Given that,
From the figure, line

l

is the bisector of angle

∠ A

, B is any point on

l

. BP & BQ are perpendicular from B to arms of

∠ A

Here,

l

is the bisector of angle

∠ A .

BP and BQ are perpendicular from B to arms of angle

∠ A

Consider

Therefore, by AAS Congruence criteria,

Hence, the given statement is true.
So, option (1) is correct.

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