Are the rectangles below congruent?
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Are the rectangles below congruent?
Since there are two pairs of sides that are equal, they also have the same area:
Therefore, the rectangles are congruent.
Yes
Are the rectangles below congruent?
Congruent figures have the same size and shape, even if rotated! A 4×8 rectangle turned 90° becomes an 8×4 rectangle - they're still exactly the same rectangle.
Not necessarily! While equal areas are a good sign, you should compare corresponding sides. Two shapes can have equal areas but different shapes (like a 2×16 and 4×8 rectangle).
Congruent rectangles are exactly the same size and shape. Similar rectangles have the same shape but can be different sizes. These 4×8 and 8×4 rectangles are congruent!
No! Even though (same area), the sides are different lengths. For congruence, you need matching pairs of sides: both rectangles must have sides of length 4 and 8.
Look for the matching lengths! In both rectangles, find the sides that are 4 units long and the sides that are 8 units long. The orientation doesn't change these measurements.
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