IX Math Ch 7 - Triangles

If the three altitudes of a $\Delta$  are equal then triangle is

• isosceles

• equilateral

• right angled        

• none

ABCD is a square and P, Q, R are points on AB, BC and CD respectively such that AP = BQ = CR and $\angle$ PQR = 90 $\degree$  , then $\angle$ QPR is

•  $45\degree$  

•  $50\degree$  

•  $60\degree$  

•  $75\degree$  

In a $\Delta$ XYZ, LM ║ YZ and bisectors YN and ZN of $\angle$ Y & $\angle$ Z respectively meet at N on LM then YL + ZM =  

• YZ

• XY

• XZ

• LM

In a $\Delta$ PQR, PS is the bisector of $\angle$ P and  $\angle$ Q = 70 $\degree$ ,  $\angle$ R = 30 $\degree$ , then

• QS > PQ > PR

• QS < PQ < PR

• PQ > QS > SR

• PQ < QS < SR

If D is any point on the side BC of a $\Delta$ ABC, then 

• AB + BC + CA > 2AD

• AB + BC + CA < 2AD

• AB + BC + CA > 3AD

• None

For given figure, which one is correct :

• $\Delta ABC\cong\Delta DEF$

• $\Delta ABC\cong\Delta FED$

• $\Delta ABC\cong\Delta DFE$

• $\Delta ABC\cong\Delta EDF$

Which of the following is not a criterion for congruence of triangles?

• SAS

• ASA

• SSA

• SSS

In $\Delta$ ABC, AB = AC and $\angle$ B = 50°. Then $\angle$ C is equal to

• 40°

• 50°

• 80°

• 130°

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

• 3.6 cm

• 4.1 cm

• 3.8 cm

• 3.4 cm

In triangles ABC and PQR, AB = AC, $\angle$ C = $\angle$ P and $\angle$ B = $\angle$ Q. The two triangles are

• isosceles but not congruent

• isosceles and congruent

• congruent but not isosceles

• neither congruent nor isosceles