Free Printable similar triangles and trigonometry

1.

Identify the hypotenuse.

a)

x

b)

z

c)

w

2.

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

3.

In a right angled triangle, if the altitude is drawn to the hypotenuse, then the two triangles formed are

a)

similar to the original triangle and to each other.

b)

congruent to each other and original triangle

c)

Similar to the main triangle

d)

congruent and similar to each other

4.

In a triangle if the square of one side is equal to the sum of the squares of the remaining two sides, then the

a)

triangles are similar

b)

triangle is a right angled triangle.

c)

ratios of the area of triangles are equal

d)

hypotenuse is equal to sum of other two sides

5.

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

a)

$150^{\circ}$

b)

$30^{\circ}$

c)

$130^{\circ}$

d)

$90^{\circ}$

6.

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

a)

A

b)

B

c)

C

d)

None

7.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

8.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

9.

Which ratio represents the cos(θ)?

a)

x/y

b)

x/z

c)

y/x

d)

y/z

10.

Which triangle below shows the ratio as $\sin\left(x\right)=\frac{b}{c}$ ?

a)

b)

c)

11.

What is the length of the adjacent side?

a)

8

b)

15

c)

17

12.

What is the opposite side to ∠D?

a)

EF

b)

DF

c)

DE

13.

In triangle ABC right angled at B, if sin A = 5/13, find tan C.

a)

13/5

b)

12/13

c)

12/5

d)

5/12

14.

In triangle PQR right angled at Q, if cot R = a/b, find sec P.

a)

a

b)

b

c)

c

d)

d

15.

Find cosec Ɵ + cot Ɵ.

a)

5/3

b)

15/8

c)

4

d)

1/4

similar triangles and trigonometry

Total questions: 15

Worksheet time: 7mins

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