This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Triangles Basics”.

1. A triangle has __________ vertices.

a) one

b) two

c) three

d) four

View Answer

Answer: c

Explanation: As shown in below diagram, triangle ABC has three vertices namely A, B and C. Similarly, it has three edges AB, BC and AC and three angles ∠A, ∠B and ∠C.

Explanation: As shown in below diagram, triangle ABC has three vertices namely A, B and C. Similarly, it has three edges AB, BC and AC and three angles ∠A, ∠B and ∠C.

2. Which one is true if triangle ABC is congruent to triangle PQR?

a) AB = PQ

b) AB = QR

c) BC = QR

d) ∠A = ∠Q

View Answer

Answer: a

Explanation: ABC \(\leftrightarrow\) PQR means triangles ABC and PQR are congruent to each other and if they are congruent to each other, AB = PQ, BC = QR and AC = PR.

Similarly ∠A = ∠P, ∠B = ∠Q and ∠C = ∠R.

And for vertices, A = P, B = Q and C = R.

Explanation: ABC \(\leftrightarrow\) PQR means triangles ABC and PQR are congruent to each other and if they are congruent to each other, AB = PQ, BC = QR and AC = PR.

Similarly ∠A = ∠P, ∠B = ∠Q and ∠C = ∠R.

And for vertices, A = P, B = Q and C = R.

3. From the diagram given below, which is true for two triangles?

a) Triangle ABC is congruent to triangle PQR

b) Triangle ABC is congruent to triangle QPR

c) Triangle ABC is congruent to triangle QRP

d) Triangle ABC is congruent to triangle RPQ

View Answer

Answer: c

Explanation: As we can see from the diagram that AB \(\leftrightarrow\) QR, BC \(\leftrightarrow\) RP and CA \(\leftrightarrow\) PQ.

Therefore we can say that triangle ABC is congruent to triangle PQR.

Explanation: As we can see from the diagram that AB \(\leftrightarrow\) QR, BC \(\leftrightarrow\) RP and CA \(\leftrightarrow\) PQ.

Therefore we can say that triangle ABC is congruent to triangle PQR.

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