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91Ó°ÊÓ

Give the most descriptive name for quadrilateral MNOP.

MN¯≅PO¯;MN¯∥PO¯

Short Answer

Expert verified

The most descriptive name for quadrilateral MNOP where MN¯≅PO¯and MN¯∥PO¯is a parallelogram.

Step by step solution

01

Step 1. Description of step.

If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram.

02

Step 2. Description of step.

It is being given that MN¯≅PO¯and MN¯∥PO¯.

In the quadrilateral MNOP, it can be noticed that the sides MN¯and PO¯are the opposite sides.

As, MN¯≅PO¯and MN¯∥PO¯, therefore the pair of opposite sides MN¯and PO¯are both congruent and parallel, therefore the quadrilateral MNOP is a parallelogram.

03

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

The most descriptive name for quadrilateral MNOP where MN¯≅PO¯and MN¯∥PO¯is a parallelogram.

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