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Give the most descriptive name for quadrilateral MNOP.

MNOP is a rectangle with MN=NO.

Short Answer

Expert verified

The most descriptive name for quadrilateral MNOP where MNOP is a rectangle withMN=NO is a square.

Step by step solution

01

Step 1. Description of step.

In a rectangle, pair of opposite sides are congruent that implies pair of opposite sides has the same measure and all angles have same measure of 90°.

In a square, all the sides are congruent that implies all sides have same measure and all angles have same measure of 90°.

02

Step 2. Description of step.

It is being given that MNOP is a rectangle.

In a rectangle, pair of opposite sides are congruent that implies pair of opposite sides have same measure and all angles have same measure of 90°.

Therefore, MN=OPand MP=NOand all angles have same measure of 90°.

It is also being given that:

MN=NO.

Therefore, it can be obtained that:

MN=NO=OP=PM

Therefore, all sides of the quadrilateral are congruent and all angles have same measure of 90°.

Therefore, the quadrilateral MNOP is a square.

03

Step 3. Write the most descriptive name for quadrilateral MNOP.

The most descriptive name for quadrilateral MNOP where MNOP is a rectangle withMN=NO is a square.

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