ΔABC is an isosceles triangle in which ∠C = 90°. If AC =6 cm, AB=?

A) \(6 \sqrt{2}\) cm

B) 6 cm

C) \(2 \sqrt{6}\) cm

D) \(4 \sqrt{2}\) cm

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

A) congruent, proportional

B) proportional, congruent

C) congruent, congruent

D) proportional, proportional

Basic proportionality theorem is known as

A) Pythagoras theorem

B) Area theorem

C) none of the above

D) Thale’s theorem

Which of the following is NOT true about similar figures?

A) Similar figures always have the same shape.

B) Similar figures always have the same size.

C) Similar figures always have corresponding angles that are equal.

D) Similar figures always have corresponding sides that are proportional.

ΔABC and ΔPQR are similar triangles such that ∠A = 32° and ∠R = 65°, then ∠B is :

A) 83°

B) 32°

C) 65°

D) 97°

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

A) 2 cm

B) 8 m

C) 2 m

D) 5 m