Are the rectangles congruent?
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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:
The area of rectangle CDGE is equal to:
Therefore, the rectangles do not overlap.
No
Are the rectangles congruent?
Congruent rectangles are exactly the same size and shape - they can be placed on top of each other and match perfectly. This means all corresponding sides must be equal.
No! Different rectangles can have the same area but different shapes. For example, a 1×12 rectangle and a 3×4 rectangle both have area 12, but they're not congruent.
Not at all! Congruent rectangles can be rotated, flipped, or moved and still be congruent. Position doesn't matter - only the dimensions matter.
Even though both have the same width of 2, their lengths are different (5 vs 4). For congruence, every corresponding side must match exactly.
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