# Lesson Worksheet: Similar Polygons Mathematics • 8th Grade

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

Q1:

Which of the following statements correctly defines similarity for polygons?

• ATwo polygons are said to be similar if their corresponding sides are equal.
• BTwo polygons are said to be similar if their corresponding angles are complementary and their corresponding sides are equal.
• CTwo polygons are said to be similar if their corresponding sides are congruent.
• DTwo polygons are said to be similar if their corresponding angles are equal.
• ETwo polygons are said to be similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Q2:

Given that the rectangles shown are similar, what is ? Q3:

Consider two similar polygons and . Which angle in corresponds to ?

• A
• B
• C
• D

Q4:

If , then .

• A
• B
• C
• D
• E

Q5:

Given that , find and the length of . • A,
• B,
• C,
• D,

Q6:

Given that the rectangle is similar to the rectangle , find the length of . Q7:

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.

• Alength , area
• Blength , area
• Clength , area

Q8:

Quadrilaterals and are similar. Determine the ratio of enlargement rounded to two decimal places if necessary. Q9:

Is polygon similar to polygon ? • ANo
• BYes

Q10:

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

• A cm
• B cm
• C cm
• D cm
• E cm