Question

Two triangles have same corresponding angles, i.e., ${30}^o,{60}^o$ and ${90}^o$ in that order. Take an example and determine if they congruent triangles?

• A. Yes
• B. No

Answer 1

The correct option is B No

Let's construct two triangles with ${30}^o,{60}^o$ and ${90}^o.$


The triangle $△PQR$ has a hypotenuse of 5 cm, and $△XYZ$ has a hypotenuse of 3 cm.

However, they have the same angle measures.

As congruency signifies that the measure of corresponding angles and sides must be equal, these two triangles are not congruent.

$\therefore$ Angle Angle Angle does not satisfy congruency.