It is given that △DEF ~ △RPQ. Is it true to say that ∠D = ∠R and ∠F = ∠P? Why

Solution:

Given, △DEF ~ △RPQ

We have to check if ∠D = ∠R and ∠R = ∠F.

Similar triangles have congruent corresponding angles and the corresponding sides are in proportion.

Similar triangles have the same shape, but not the same size.

By applying the property of similar triangles,

The corresponding angles are equal.

So, ∠D = ∠R

∠E = ∠P

∠F = ∠Q

∠F ≠ ∠P

Therefore, the given statement ∠F = ∠P is false.

✦ Try This: It is given that △DEF ~ △ABC. Is it true to say that ∠D = ∠A and ∠F = ∠C? Why

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 6

NCERT Exemplar Class 10 Maths Exercise 6.2 Problem 2

It is given that △DEF ~ △RPQ. Is it true to say that ∠D = ∠R and ∠F = ∠P? Why

Summary:

The given statement, “It is given that △DEF ~ △RPQ, ∠D = ∠R and ∠F = ∠P” is false

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