**Q4: **

If , evaluate .

- A
- B97
- C
- D

**Q5: **

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

- A
- B
- C
- D
- E

**Q6: **

where and . If the area of , what is the area of ?

**Q7: **

The diagonal of a small square is of the length of the diagonal of a larger square.
If the area of the smaller square is 9 cm^{2}, what is the area of the larger square?

**Q8: **

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

**Q9: **

where
and .
If the area of is 1β848 cm^{2}, what is the area of ?

**Q10: **

If the ratio between the sides of two similar polygons is , what is the ratio between their areas?

- A
- B
- C
- D
- E

**Q11: **

Square A is an enlargement of Square B by a scale factor of . If the perimeter of Square A equals 56 cm, what is the area of Square B? Give your answer to the nearest hundredth.

**Q12: **

It cost to fit wooden flooring in a class with dimensions 28 m and 10 m. How much would it cost to fit wooden flooring in a similar room with dimensions 84 m and 30 m.

**Q13: **

If , find the scale factor of similarity of to and the values of and .

- A scale factor, ,
- B scale factor, ,
- C scale factor, ,
- D scale factor, ,
- E scale factor, ,

**Q14: **

Given that the similarity ratio of polygon to polygon and the similarity ratio of polygon to polygon , find the similarity ratio of polygon to polygon .

- A
- B
- C
- D

**Q15: **

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

**Q16: **

Triangles and are similar.

Work out the value of .

Work out the value of .

- A
- B
- C7
- D6
- E

**Q17: **

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

**Q18: **

In triangle , let be a point on and a point on . Suppose that and that . If the area of is 237, what is the area of the trapezoid ?

- A131.67
- B94.8
- C85.32
- D151.68
- E211.34

**Q19: **

Find the value of rounded to the nearest hundredth, if needed.

**Q20: **

The areas of two similar polygons are in the ratio . What is the ratio between corresponding sides? What is the ratio between their perimeters?

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

**Q21: **

If , the area of of the area of , and , find the length of .

- A cm
- B 26 cm
- C 6 cm
- D cm

**Q22: **

Triangles and are similar. Find to the nearest integer.

**Q23: **

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 .

**Q24: **

Given that is a square, , and , find .

- A
- B110
- C15
- D10

**Q25: **

Triangles and are similar.

Work out the measure of angle .

Work out the value of .

Work out the value of .