Lesson Worksheet: Similar Polygons Mathematics • 8th Grade

Start Practising

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 ?

Q4:

If , then .

Q5:

Given that , find and the length of .

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

Practice Means Progress

Download the Nagwa Practice app to access 32 additional questions for this lesson!

scan me!