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Parameters of Triangles (Sides and Angles)

If two triang...

Question

If two triangles ABC and PQR are congruent under the correspondence A ↔ P, B ↔ Q and C ↔ R, then symbolically, it is expressed as

A

△ABC = △PQR

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B

△ABC and △PQR are isosceles triangles

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C

△ABC and △PQR are scalene triangles

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D

△ABC ≅ △PQR

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Solution

The correct option is D
△ABC ≅ △PQR

The order of the letters in the names of the two triangles indicates the correspondence between the vertices of two triangles.

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Similar questions

Q. If a triangle

A B C

is congruent to the triangle

P Q R

, it can be represented as:

△ A B C

△ P Q R

Q. If triangle ABC is congruent to triangle PQR, then angle A corresponds to angle

Q. If in two triangles

A B C

P Q R

A B = Q R

∠ A = ∠ Q

∠ B = ∠ R

△ A B C ≅

△

Suppose that we have two triangles ∆ ABC and∆PQR with their corresponding sides are AB and PQ, BC and QR, AC and PR. After we proved triangle ABC congruent to triangle PQR by SSS test then is it compulsory to write triangle ABC congruent to triangle PQR in a particular way that is their names must be in correspondence with each other.

△ A B C

△ P Q R

∠ A = ∠ Q

∠ B = ∠ R .

△ P Q R

should be equal to side

B C

△ A B C

so that the two triangles are congruent?

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