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Worksheets

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Total questions: 10

Worksheet time: 18mins

Name
Class
Date
1.

In the given figure, ∠T and ∠B are right angles. If the length of AT, BC and AS (in centimeters) are 15, 16, and 17 respectively, then the length of TC (in centimeters) is

a)

18

b)

16

c)

19

d)

12

2.

In ΔABC, if DE || BC, AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then value of x is

a)

3.5

b)

4

c)

3

d)

5

3.

The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ = 9 cm, then AB equals

a)

6 cm

b)

10 cm

c)

15 cm

d)

24 cm

4.

If ΔABC is similar to ΔDEF such that 2 AB = DE and BC = 8 cm then EF is equal to.

a)

12 cm

b)

4 cm

c)

16 cm

d)

8 cm

5.

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.(hint: consider the triangles formed as similar)

a)

4 ft

b)

2 ft

c)

8 ft

d)

6ft

6.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SSA

c)

Yes - SAS

d)

No - They are different triangles

7.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
8.

In the figure PQ || BC. If PQ/BC

= 2/5

then AP/PB is

a)

2/5

b)

2/3

c)

3/2

d)

3/5

9.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
10.

In the given figure, PQ = 24 cm, QR = 26 cm ∠PAR = 90°, PA = 6 cm, and AR = 8 cm, the degree measure of ∠QPR is

a)

90°

b)

100°

c)

50°

d)

45°