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Ulleksa [173]
3 years ago
5

Prove that the diagonals of a rectangle bisect each other.

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0

Answer:

  bisect each other.

Step-by-step explanation:

The midpoints are the same point, so the diagonals bisect each other.

__

<em>More elaboration on a proof</em>

The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.

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