# Worksheet: Similar Triangles

In this worksheet, we will practice using the properties of similar triangles to solve problems.

**Q2: **

In the given figure, and are parallel. Use similarity to work out the value of .

- A
- B
- C
- D
- E

**Q3: **

If , evaluate .

- A97
- B
- C
- D

**Q4: **

Given that , if 6 units are added to the length of each side, are the new triangles similar?

- Ano
- Byes

**Q5: **

Given that and are similar, find the length .

**Q6: **

Triangles and are similar.

Work out the value of .

Work out the value of .

- A
- B
- C
- D6
- E7

**Q7: **

Triangles and are similar.

Work out the length of .

Work out the length of .

**Q8: **

Triangle can be dilated by a scale factor of two onto triangle .

Determine the length of .

Determine the length of .

Find the measure of angle .

**Q9: **

Triangles and are similar.

Work out the measure of angle .

Work out the value of .

Work out the value of .

**Q10: **

Find the value of rounded to the nearest hundredth.

**Q11: **

Triangles and are similar. Find to the nearest integer.

**Q12: **

Given that , , , and , find the length of .

**Q13: **

In the figure, suppose also that , and that . What is the length ?

**Q14: **

If , find and the length of to the nearest tenth.

- A, 23.4 cm
- B, 19 cm
- C, 23.4 cm
- D, 15 cm

**Q15: **

In the figure, is similar to . If and , what is ?

**Q16: **

is a rectangle in which , , and . Calculate the perimeter of .

**Q17: **

Find the length of and round the result to the nearest tenth.

**Q18: **

If , determine the length of rounded to the nearest hundredth, if necessary.

**Q19: **

The figure shows triangles and .

Work out the value of .

- A
- B7
- C5
- D
- E15

Work out the value of .

Work out the value of .

- A8
- B
- C6
- D
- E

**Q20: **

In trapezoid , sides and are parallel, and its diagonals intersect at . Given that , and , what is the length of ?

**Q21: **

In the figure, given that , , , and , find the lengths of each of and .

- A,
- B,
- C,
- D,

**Q22: **

Triangles and are similar.

Work out the value of .

Work out the value of .

**Q23: **

In the figure, suppose that . Determine the lengths of and to two decimal places.

- A,
- B,
- C,
- D,

**Q24: **

Given that the shown triangles are similar, determine the length of . Give your answer to one decimal place if necessary.

**Q25: **

Triangles and are similar.

Work out the value of .

- A
- B
- C3
- D
- E

Work out the value of .

- A
- B3
- C
- D
- E