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What special characteristic of a parallelogram makes it a rectangle ? In other words , what has to be true about a parallelogram for it to specifically be a rectangle ?

What special characteristic of a parallelogram makes it a rectangle ? In other words-example-1
User Paul Delhanty
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2 Answers

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26 votes

Final answer:

A parallelogram can be considered a rectangle if it has four right angles and opposite sides are parallel and equal in length.

Step-by-step explanation:

A parallelogram can be considered a rectangle if it has four right angles (90 degrees each). In other words, all four angles of the parallelogram must be equal to 90 degrees. This means that opposite sides of the parallelogram are parallel and equal in length, and all four sides are also equal in length.

For example, if we have a parallelogram with angles measuring 90 degrees, such as ABCD, where AB is parallel to CD and AD is parallel to BC, then this parallelogram is a rectangle.

User Shalice
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15 votes
15 votes

Answer:

Opposite sides are congruent

AND

Opposite angles are congruent

Step-by-step explanation:

"for a parallelogram to be a rectangle it must have four right angles, opposite sides congruent, opposite sides parallel, opposite angles congruent, diagonals bisect each other, and diagonals are congruent."

User Ely
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