Congruent Rectangles: Identifying Congruent Rectangles

Examples with solutions for Congruent Rectangles: Identifying Congruent Rectangles

Exercise #1

Are the rectangles below congruent?

222333444333

Video Solution

Step-by-Step Solution

We can see that the length is identical in both rectangles: 3=3.

However their widths are not equal, as one is 2 while the other is 4.

Therefore, the rectangles are not congruent.

Answer

No

Exercise #2

Are the rectangles below congruent?

444888888444

Video Solution

Step-by-Step Solution

Since there are two pairs of sides that are equal, they also have the same area:

8×4=32 8\times4=32

Therefore, the rectangles are congruent.

Answer

Yes

Exercise #3

Are the rectangles congruent?

222555444AAABBBDDDCCCEEEGGG

Video Solution

Step-by-Step Solution

Note that DC divides AE into two unequal parts.

AC=5 while CE=4

The area of rectangle ABDC is equal to:

5×2=10 5\times2=10

The area of rectangle CDGE is equal to:

4×2=8 4\times2=8

Therefore, the rectangles do not overlap.

Answer

No

Exercise #4

Are the rectangles congruent?

A=20A=20A=20A=24A=24A=24

Video Solution

Answer

No