If - ABC - RQP - then - P - -

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Standard VII

Mathematics

Congruency of Triangles

If Δ ABC ≅Δ R...

Question

If $Δ A B C ≅ Δ R Q P$ , then $∠ P$ = _____ .

$∠ A$

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$∠ C$

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$∠ B$

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Both $∠ A$ and $∠ B$

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Solution

The correct option is B
$∠ C$

If two triangles are congruent, then their corresponding angles are equal.

Here, $Δ$ ABC $≅$ $Δ$ RQP
$∴$ $∠ A$ = $∠ R$
$∠ B$ = $∠ Q$
$∠ P$ = $∠ C$
So, option B is correct.

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Similar questions

$Δ A B C i s c o n g r u e n t t o Δ R Q P$ , that is $Δ A B C ≅ Δ R Q P$ . If $∠ C$ and $∠ P$ are the smallest angles in $Δ A B C$ and $Δ R Q P$ , then $∠ P = ?$

Q. If

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

are position vectors of vertices

A, B, C

Δ A B C

. If

¯ ¯ ¯ r

is position vector of a point

P

such that

(| ¯ ¯ b - ¯ ¯ c | + | ¯ ¯ c - ¯ ¯ ¯ a | + | ¯ ¯ ¯ a - ¯ ¯ b |) ¯ ¯ ¯ r

= | ¯ ¯ b - ¯ ¯ c | ¯ ¯ ¯ a + | ¯ ¯ c - ¯ ¯ ¯ a | ¯ ¯ b + | ¯ ¯ ¯ a - ¯ ¯ b | ¯ ¯ c

then the point

P

Q. In

Δ A B C

, if

\frac{b}{c + a} + \frac{c}{a + b} = 1

, then

Q. In any

Δ A B C

, if cot

\frac{A}{2}

, cot

\frac{B}{2}

, cot

\frac{C}{2}

are in A,P., then a, b, c are in

Q. If

\vec{a}, \vec{b} and \vec{c}

are the position vectors of the vertices A, B and C respectively of a

∆ A B C such that |\vec{a} \times \vec{b} + \vec{b} \times \vec{c} + \vec{c} \times \vec{a}| = 20,

then area of

∆ A B C

is ____________.

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If ΔABC≅ΔRQP , then ∠P = _____ .

The correct option is B ∠C If two triangles are congruent, then their corresponding angles are equal. Here, Δ ABC ≅ Δ RQP ∴ ∠A =∠R ∠B =∠Q ∠P =∠C So, option B is correct.

If $Δ A B C ≅ Δ R Q P$ , then $∠ P$ = _____ .

The correct option is B
$∠ C$

If two triangles are congruent, then their corresponding angles are equal.

Here, $Δ$ ABC $≅$ $Δ$ RQP
$∴$ $∠ A$ = $∠ R$
$∠ B$ = $∠ Q$
$∠ P$ = $∠ C$
So, option B is correct.