In this worksheet, we will practice how to use the properties of similar polygons to find unknown angles, side lengths, scale factors, and perimeters.

**Q2: **

If , find the scale factor of to and the perimeter of .

- AThe scale factor is , and the perimeter is 117.
- BThe scale factor is , and the perimeter is 64.
- CThe scale factor is , and the perimeter is 60.7.
- DThe scale factor is , and the perimeter is 78.
- EThe scale factor is , and the perimeter is 117.

**Q3: **

If two triangles are similar, then their corresponding angles are .

- Aproportional
- Bdifferent
- Ccomplement
- Dequal

**Q4: **

If , find the lengths of and .

- A ,
- B ,
- C ,

**Q5: **

Find .

**Q7: **

Are the two polygons similar?

- Ano
- Byes

**Q8: **

If , then .

- A
- B
- C
- D
- E

**Q9: **

Given that , determine the length of .

**Q10: **

Given that , find and the length of .

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

**Q11: **

If , find .

**Q12: **

If , , and , find .

**Q13: **

A college professor was using a projector to give his lectures. A slide whose dimensions are 11 inches wide and 7 inches high was projected into an image that was inches wide. Find the height of the projected image.

- A in
- B in
- C in
- D in
- E in

**Q14: **

Given that the rectangle is similar to the rectangle , find the length of .

**Q15: **

A rectangle that is 15 by 10 is similar to a second rectangle with perimeter 40. Find the length and the area of the second rectangle.

- A length , area
- B length , area
- C length , area

**Q16: **

The image of a shape has a perimeter of 40 following a dilation by a scale factor of . What would the perimeter of the original shape be?