Question

3.State whether the following triangles are similar or not : If yes , then write the test of

similarity.

P x ⦟P = 35° , ⦟x = 35° and ⦟Q = 60°, ⦟Y =​

Answer 1

Given:- ~ ⦟P = 35° ,

⦟x = 35°

and ⦟Q = 60°,

to find:-⦟Y = ?

1.⦟p = ⦟x (given)

2.⦟Q=⦟Y (corresponding angles)

⦟Y=60°

3. Correspondence

P ←→ X

Q ←→ Y.

R ←→ Z

4.∆PQR ~∆XYZ ( AA TEST OF SIMILARITY)

Answer 2

Answer:

⦟Y=60°

Yes, this two triangles are similar

AA similarity test

Explanation:

In ∆PQR & ∆XYZ

⦟P=35°

⦟X=35°

⦟Q=60°

⦟Y=?

⦟P=⦟X.-----------------(1)(each of 35°)

⦟Q=⦟Y------------------(2)(corresponding angles)

. : ⦟Y=60°

Now,

from (1) and (2)

∆PQR~∆XYZ ------------( AA similarity test )

Hence proved