Congruence of Triangles: Triangles having the Same Shape and Size

In this quiz, you are going to solve questions based on the congruent triangles, and properties of the congruent triangles.

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‘Under a given correspondence, two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other.’ The above is known as

SSS congruence of two triangles SAS congruence of two triangles ASA congruence of two triangles RHS congruence of two right-angled triangles

‘Under a given correspondence, two triangles are congruent if two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle.’ The above is known as

SSS congruence of two triangles SAS congruence of two triangles ASA congruence of two triangles RHS congruence of two right-angled triangles

The symbol for congruence is

≡ ≅ ↔ =

The symbol for correspondence is

= ↔ ≡ ≅

ΔABC and ΔPQR are congruent under the correspondence: ABC ↔ RPQ, then the part of ΔABC that correspond to PQ is

AC AB BC None of These

ΔABC is right triangle in which ∠A = 90° and AB = AC. The values of ∠B and ∠C will be

∠B = ∠C = 30° ∠B = ∠C = 50° ∠B = ∠C = 45° ∠B = ∠C = 60°

Two students drew a line segment each. What is the condition for them to be congruent?

They should be drawn with a scale. They should be drawn on the same sheet of paper. They should have different lengths. They should have the same length.

The number of elements of a triangle is:

Given below are measurements of some parts of two triangles. Write the result in symbolic form.In ΔABC, ∠B = 90°, AC 8 cm AB = 3 cm andΔPQR ,∠P = 90°, PR = 3 cm QR = 8 cm

ΔABC ≅ ΔQPR

ΔABC ≅ ΔPQR

ΔABC ≅ ΔRPQ

none of these

Given two triangles are congruent then we can write :