If a quadrilateral has one pair of opposite sides that are both parallel and equ

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Question: If a quadrilateral has one pair of opposite sides that are both parallel and equal, what can be inferred about the quadrilateral?

Options:

Correct Answer: It is a parallelogram

Solution:

A quadrilateral with one pair of opposite sides that are both parallel and equal is a parallelogram.

If a quadrilateral has one pair of opposite sides that are both parallel and equal, what can be inferred about the quadrilateral?

If a quadrilateral has one pair of opposite sides that are both parallel and equal, what can be inferred about the quadrilateral?

Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Identify the properties of the sides. In this case, we have one pair of opposite sides that are both parallel and equal in length.
Step 3: Recall the definition of a parallelogram. A parallelogram is a type of quadrilateral where opposite sides are both parallel and equal.
Step 4: Since the quadrilateral has one pair of opposite sides that are parallel and equal, it meets the criteria for being a parallelogram.
Step 5: Conclude that the quadrilateral must be a parallelogram.

Properties of Quadrilaterals – Understanding the characteristics of quadrilaterals, specifically parallelograms, which have opposite sides that are both parallel and equal.
Parallel Lines and Equality – Recognizing that if one pair of opposite sides in a quadrilateral is both parallel and equal, it satisfies the conditions for being a parallelogram.