NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 6: Triangles - Exercise 6.2

Question 6

Step 1: Recall the meaning of "similar figures".

Two figures are called similar if:

• Their corresponding angles are equal.
• Their corresponding sides are in the same ratio (also called proportional).

Step 2: Check what the statement says.

The statement says that only equal angles are enough to make two quadrilaterals similar.

Step 3: See why this is not correct.

For polygons with more than 3 sides (like quadrilaterals), equal angles alone are not sufficient. We must also check the ratio of sides.

Step 4: Example to understand better.

Take two rectangles:

• Rectangle A has sides (2 , ext{cm}) and (1 , ext{cm}).
• Rectangle B has sides (3 , ext{cm}) and (1 , ext{cm}).

Both rectangles have all four angles = (90^circ). So, their angles are equal.

But the ratio of sides is different:

• In Rectangle A: ratio = (2:1).
• In Rectangle B: ratio = (3:1).

Since the side ratios are not the same, these two rectangles are not similar.

Final Conclusion: The statement is false. For similarity of quadrilaterals, both equal angles and proportional sides are required.