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Determine if the conclusion is valid. If not, identify the additional information needed to make it valid. Given: AC¯¯¯¯¯≅BD¯¯¯¯¯ Conclusion: ABCD is a rectangle.

Determine if the conclusion is valid. If not, identify the additional information-example-1
User Cosaquee
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The other proof that the image is a rectangle is:

QM ≅ PN

How to find the properties of a rectangle?

The properties of a rectangle are as follows:

- It is a quadrilateral with four sides and four vertices.

- Each interior angle measures 90 degrees.

- The opposite sides are parallel and equal in length.

- The diagonals bisect each other and are of equal length.

- The perimeter of a rectangle with side lengths (a) and (b) is (2a + 2b) units.

- The area of a rectangle with side lengths (a) and (b) is given by the formula (ab) square units.

We are given that:

MP ≅ QN

MN ≅ QP

Since we are given that the diagonals are equal.

We are also given that two sides are congruent.

Thus, the other two sides are congruent. Thus:

QM ≅ PN

User Saranjeet Singh
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