Question

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

Answer 1

Two Triangles are said to be similar if their i)corresponding angles are equal and ii)corresponding sides are proportional.(the ratio between the lengths of corresponding sides are equal)

GIVEN:
∆ DEF ~  ∆RPQ
∠ D = ∠ R
∠ E = ∠ P
∠ F = ∠ Q

[Similarity of triangles should be expressed symbolically using correct correspondence of their vertices]

Hence , ∠ D = ∠ R = TRUE
∠ F = ∠ P = FALSE

HOPE THIS WILL HELP YOU....

Answer 2

Thus so

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. AS IT IS RULE THAT THE TWO TRIANGLES ARE SIMILAR IF

➡ THE CORRESPONDING ANGLES ARE EQUAL

➡ THE RATIO OF THE TWO CORRESPONDING SIDES ARE EQUAL . THE ANGLE BETWEN THEM IS EQUAL .


SO

. AS

.TRIANGLE DEF ~ TRIANGLE RPQ

DE / RP = EF / PQ = DF / RQ

. ANGLE D = ANGLE R

. ( true )

. ANGLE F = ANGLE Q

. ( true )

. THEN ANGLE F = ANGLE P

. ( false )


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. Hope it helps