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

∆ABC ~ ∆PQR, M is the mid-point of BC and N is the

mid point of QR. If the area of ∆ABC = 100 sq. cm,

the area of ∆PQR = 144 sq. cm and AM = 4 cm,

then PN is :

A) 4.8 cm

B) 12 cm

C) 4 cm

D) 5.6 cm

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

If a line divides any two sides of a triangle in the same ratio then the line is ———– to the third side

A) parallel

B) perpendicular

C) co-incides

D) none of the above

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.

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

Basic proportionality theorem is known as

A) Pythagoras theorem

B) Area theorem

C) none of the above

D) Thale’s theorem