# Mathematics Questions and Answers – Triangles Basics

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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

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

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

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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