Similar triangles

Which of the following figures are always similar ?

• Two rectangles

• Two rhombuses

• Rectangle, Rhombus

• Two squares

Which of the following figures are not always similar ?

• Two Circles.

• Two Rectangles

• Two Equilateral triangles

• Two Squares

Symbol for similarity is

• $\sim$

• $\approx$

• $\cong$

• $\equiv$

The reduced and enlarged photographs of an object are

• Similar

• Congruent

• Neither congruent nor similar

• None

 $\Delta ABC\ \sim\ \Delta PQR\$  and if  $\angle A=30^{\circ}\ then\ \angle Q\ +\angle R\ =$  

•  $150^{\circ}$  

•  $30^{\circ}$  

•  $130^{\circ}$  

•  $90^{\circ}$  

In a $\Delta ABC$  if $AB^2\ =AC^2\ +BC^2$  then right angle is at

• A

• B

• C

• None

Which of the following are not sides of a right angled triangle ?

• 3cm, 4cm, 5cm

• 5cm, 12cm, 13cm

• 2cm, 3cm, 4cm

• 6cm, 8cm, 10cm

Pythagoras theorem is also called as

• Baudhayan theorem

• Thales theorem

• Apollonius theorem

• None

A ladder 25m long reaches a window of building 20m above the ground. The distance distance of the foot of the ladder from the building is

• 15m

• 10m

• 30m

• $\sqrt{220}$ m

Three times the square of any side of an equilateral triangle is equal to __________ times the square of the altitude.(Hint: Altitude h=  $\frac{\sqrt{3}}{2}a$  where a is its side)

• 4

• 2

• 3

•  $\sqrt{2}$