How to find if rectangles are similar

Practice Questions

Basic Geometry › How to find if rectangles are similar

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1

Rectangles 1

Figure NOT drawn to scale

Refer to the above figure.

True or false: Rectangle Rectangle .

2

Two rectangles are similar. One has an area of and the other an area of . If the first has a base length of , what is the height of the second rectangle?

3

What value of makes the two rectangles similar?

25

4

Congruent rectangle

Consider the similar rectangles and shown here. The lengths of the following sides are given:

What is the length of the side ?

5

Rectangles

Note: figure not drawn to scale.

Examine the above figure.

What is ?

6

There are two rectangles. One has a perimeter of and the second one has a perimeter of . The first rectangle has a height of . If the two rectangles are similiar, what is the base of the second rectangle?

7

The following images are not to scale.

In order to make these two rectangles similar, what must the width of rectangle on the right be?

Similar_rectangles

8

Two rectangles are similar. One rectangle has dimensions centimeters and 100 centimeters; the other has dimensions 400 centimeters and centimeters.

What value of makes this a true statement?

9

Are these rectangles similar?

Similar or no 2

10

Which of the following is not a necessary condition for rectangles A and B to be similar?

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