# Worksheet: Applications of Similar Polygons

Q1:

Are these two polygons similar? If yes, find the scale factor from to .

• Ayes
• Bno

Q2:

If the two following polygons are similar, find the value of .

Q3:

Given that , find and the length of .

• A ,
• B ,
• C ,
• D ,

Q4:

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

Q5:

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

Q6:

If , , and , find .

• A
• B
• C
• D
• E

Q7:

If , find the lengths of and .

• A ,
• B ,
• C ,

Q8:

Are the two polygons similar?

• Ano
• Byes

Q9:

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

Q10:

Given that , determine the length of .

Q11:

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?

Q12:

Find .

Q13:

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

• Aproportional
• Bdifferent
• Ccomplement
• Dequal

Q14:

If , find .

• A
• B
• C
• D

Q15:

is mapped onto by one or more of the following transformations: translation, reflection, rotation, dilation.

Determine the length of .

Determine the measure of angle .

Q16:

If , then .

• A
• B
• C
• D
• E