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TRIANGLES IX

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

f E and F are the midpoints of equal sides AB and AC of a triangle ABC. Then:

a)

BF = AC

b)

BF =AF

c)

CE= AB

d)

BF = CE

2.

In two triangles, ABC and PQR, ∠A = 30°, ∠B = 70°, ∠P = 70°, ∠Q = 80° and AB = RP, then which of the following is correct

a)

ΔABC ≌ ΔPQR by SAS

b)

ΔABC ≌ ΔQRP By RHS

c)

ΔABC ≌ ΔRPQ by ASA

d)

ΔABC ≌ ΔRQP by SSS

3.

If ABC and DBC are two isosceles triangles on the same base BC. Then:

a)

∠ ABD = ∠ ACD

b)

∠ABD > ∠ACD

c)

∠ABD < ∠ACD

d)

None of the above

4.

If AD is an altitude of an isosceles triangle ABC in which AB = AC. Then we get

a)

BD>CD

b)

BD<CD

c)

BD=CD

d)

None of the above

5.

In the given figure, the congruency rule used in proving ∠ACD ≌ ∠ADB is

a)

ASA

b)

SAS

c)

AAS

d)

RHS

6.

In the given figure, AD is the median then ∠BAD is

a)

35°

b)

70°

c)

110°

d)

55°

7.

In a right triangle, the longest side is:

a)

perpendicular

b)

Hypotenuse

c)

Base

d)

None of these

8.

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

a)

3.6 cm

b)

4.1 cm

c)

3.8 cm

d)

6.9 cm

9.

In the given figure, if the exterior angle is 135 then ∠P is:

a)

45 degree

b)

60 degree

c)

80 degree

d)

90 degree

10.

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. Th two triangles are:

a)

Isosceles but not congruent

b)

Isosceles and congruent

c)

Congruent but not isosceles

d)

Neither congruent nor isosceles