Question

are these shapes congruent?

Explanation:

Step1: Analyze triangle ABC

Triangle ABC has all sides 37 cm and all angles 60°, so it's equilateral.

Step2: Analyze triangle UVW

Triangle UVW has sides 37 cm, 41 cm, 44 cm and angles 60°, 51°, 69°, so it's scalene.

Step3: Compare congruence

Congruent shapes have identical sides/angles. ABC and UVW differ in sides/angles.

Answer:

No, the shapes are not congruent.