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1.

The sum of the angles of a triangle is equal to __________(a) 270°(b) 90°(c) 180°(d) 360°I got this question by my school principal while I was bunking the class.I would like to ask this question from Angle Sum Property of a Triangle topic in portion Triangles of Mathematics – Class 9

Answer»

The CORRECT choice is (c) 180°

Best explanation: ACCORDING to THEOREM 6.7, the SUM of the angles of a triangle is equal to 180°.

As shown in the diagram below, three angles of the TRIANGLES are ∠1, ∠2 and ∠3.

Hence, ∠1 + ∠2 + ∠3 = 180°
Discussion
2.

Which one is true if triangle ABC is congruent to triangle PQR?(a) AB = PQ(b) AB = QR(c) BC = QR(d) ∠A = ∠QThis question was posed to me during a job interview.This intriguing question comes from Triangles Basics in portion Triangles of Mathematics – Class 9

Answer»

Correct answer is (a) AB = PQ

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.
Discussion
3.

A triangle has __________ vertices.(a) one(b) two(c) three(d) fourThe question was asked by my college professor while I was bunking the class.Question is from Triangles Basics topic in chapter Triangles of Mathematics – Class 9

Answer»

Correct CHOICE is (c) three

To ELABORATE: 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.
Discussion