Comparing Two Rectangles: Testing Congruence of 2×5 and 2×4 Shapes

Are the rectangles congruent?

222555444AAABBBDDDCCCEEEGGG

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1

Understand the problem

Are the rectangles congruent?

222555444AAABBBDDDCCCEEEGGG

2

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.

3

Final Answer

No

Practice Quiz

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Are the rectangles congruent?

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

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