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Prove that the diagonals of a rectangle bisect each other

Prove that the diagonals of a rectangle bisect each other-example-1
Prove that the diagonals of a rectangle bisect each other-example-1
Prove that the diagonals of a rectangle bisect each other-example-2

1 Answer

4 votes
Answer:

bisect each other

Step-by-step explanation:

Given: Rectangle ABCD

AB = DC (opposite sides of a rectangle are equal)

Let the point of bisection of the diagonals be O

Similarly:

Therefore:

△OAB ≅ △OCD (ASA rule of congruence)

We can then conclude that:

AO = CO (Corresponding sides of congruent triangles are equal)

DO = BO (Corresponding sides of congruent triangles are equal)

Since the midpoints are the same, the diagonals bisect each other

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User Bjurstrs
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