Practice30Create account

A carpenter in Pune makes two triangular brackets. He measures only two angles of each (45° and 65°) but no sides, and finds them equal.
Can he conclude the brackets are congruent?

Class 9Criteria for CongruenceGeometry — Triangles
  • ANo, equal angles only ensure same shape, not size
  • BYes, by AAA
  • CYes, by ASA
  • DYes, by SSS

Step-by-Step Solution

AAA gives similarity. Without an equal side, the brackets can differ in size, so congruence is not guaranteed.
Answer: A) No, equal angles only ensure same shape, not size

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Criteria for Congruence practice questions

More Class 9 Criteria for Congruence practice

In triangles ABC and PQR, it is given AB = PQ, angle A = angle P and angle B = angle Q.…Two ladders lean against a wall making right angles with the ground. Both ladders are 5…In triangle ABC, AB = AC. The perpendiculars BE and CF are drawn to sides AC and AB…Meera says two triangles with sides 5, 5, 8 cm and 5, 8, 8 cm cannot be congruent. Is…A flag pole stands vertically. Two ropes of equal length run from the top of the pole to…