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?