Congruent Rectangles: Identifying Congruent Rectangles

Are the rectangles congruent?

It can be noticed that the length is identical in both rectangles: 3=3

But the width is not equal 2 is not equal to 4

Therefore, the rectangles do not overlap

No

Are the rectangles congruent?

Since there are two pairs of sides that are equal in size:

$4=4,8=8$ they also have the same area:

$8\times4=32$

Therefore, the rectangles indeed overlap.

Yes

Are the rectangles congruent?

Note that DC divides AE into two unequal parts.

AC=5 while CE=4

The area of rectangle ABDC is equal to:

$5\times2=10$

The area of rectangle CDGE is equal to:

$4\times2=8$

Therefore, the rectangles do not overlap.

No

Are the rectangles congruent?

No