Are the rectangles below congruent?
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Are the rectangles below congruent?
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.
No
Are the rectangles below congruent?
Congruent rectangles have exactly the same size and shape. This means all corresponding sides must be equal - both length and width must match perfectly.
Not necessarily! A 2×6 rectangle and a 3×4 rectangle both have area 12, but they're not congruent because their dimensions are different. Area alone doesn't determine congruence.
Yes! A 2×3 rectangle can be rotated to become 3×2. So when comparing, check if the dimensions match in either orientation: length×width or width×length.
Always use the labeled dimensions, not how they appear visually! Drawings might not be to scale. Focus on the numbers: compare the actual measurements given.
Congruent means exactly the same size and shape. Similar means same shape but possibly different size. For congruence, dimensions must be identical, not just proportional.
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