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Byju's Answer

Standard VIII

Mathematics

Congruency Postulates

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Question

From the information shown in the figure, state the test assuring the congruence of $∆$ ABC and $∆$ PQR. Write the remaining congruent parts of the triangles.

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Solution

In △ABC and △QPR
AB = PQ (Given)
BC = PR (Given)
∠A = ∠Q = 90^∘ (Given)
By RHS test of congruency
△ABC ≅ △QPR
∠B = ∠P (corresponding angles of congruent triangles)
∠C = ∠R (corresponding angles of congruent triangles)
AC = QR (corresponding sides of congruent triangles)

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Q. Observe the information shown in pairs of triangles given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

Q. In the figures given below, some congruent parts are indicated by identical marks.
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From the information shown in the figure, state the test assuring the congruence of ∆ ABC and ∆ PQR. Write the remaining congruent parts of the triangles.

​In △ABC and △QPR AB = PQ (Given) BC = PR (Given) ∠A = ∠Q = 90∘ (Given) By RHS test of congruency △ABC ≅ △QPR ∠B = ∠P (corresponding angles of congruent triangles) ∠C = ∠R (corresponding angles of congruent triangles) ​AC = QR (corresponding sides of congruent triangles)

From the information shown in the figure, state the test assuring the congruence of $∆$ ABC and $∆$ PQR. Write the remaining congruent parts of the triangles.

In △ABC and △QPR
AB = PQ (Given)
BC = PR (Given)
∠A = ∠Q = 90^∘ (Given)
By RHS test of congruency
△ABC ≅ △QPR
∠B = ∠P (corresponding angles of congruent triangles)
∠C = ∠R (corresponding angles of congruent triangles)
AC = QR (corresponding sides of congruent triangles)