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
Look at the rectangle ABCD below.
Side AB is 6 cm long and side BC is 4 cm long.
What is the area of the rectangle?
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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