Congruence of Triangles — O/L Mathematics

How do I practise Congruence of Triangles?

1 question with a worked solution

1. In triangles ABC and PQR, AB = PQ, BC = QR, and angle B = angle Q. Under which geometric congruence condition are triangles ABC and PQR congruent?
   1. A) Side-Angle-Side (SAS)
   2. B) Side-Side-Side (SSS)
   3. C) Angle-Side-Angle (ASA)
   4. D) Right angle-Hypotenuse-Side (RHS)
   Check my answer

   Correct answer: A) Side-Angle-Side (SAS)

   Two pairs of corresponding sides are equal (AB = PQ, BC = QR) and the included angle between them is equal (angle B = angle Q). This satisfies the Side-Angle-Side (SAS) congruence condition.

   Show worked solution

   Step 1: Identify given equal parts: Side AB = Side PQ; Included angle B = Included angle Q; Side BC = Side QR. Step 2: Check position of angle: angle B is between sides AB and BC; angle Q is between sides PQ and QR. Step 3: This matches the SAS (Side-Angle-Side / පා.කෝ.පා) theorem. Answer: Side-Angle-Side (SAS).
   Modelled on: the O/L Mathematics examination pattern

Get this auto-marked

Next in the syllabus

Where does Congruence of Triangles fit in the syllabus?

Grade 10 · Term 1