If a quadrilateral has one pair of opposite sides that are both equal and parall

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Question: If a quadrilateral has one pair of opposite sides that are both equal and parallel, what type of quadrilateral is it?

Options:

Correct Answer: Parallelogram

Solution:

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

If a quadrilateral has one pair of opposite sides that are both equal and parallel, what type of quadrilateral is it?

If a quadrilateral has one pair of opposite sides that are both equal and parallel, what type of quadrilateral is it?

Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Identify the properties of the sides in the question. We have one pair of opposite sides that are equal and parallel.
Step 3: Recall the definition of a parallelogram. A parallelogram is a type of quadrilateral where both pairs of opposite sides are equal and parallel.
Step 4: Since the question states that there is one pair of opposite sides that are equal and parallel, this fits the definition of a parallelogram.
Step 5: Conclude that the quadrilateral described in the question is a parallelogram.

Properties of Quadrilaterals – Understanding the characteristics of different types of quadrilaterals, particularly parallelograms.
Parallel and Equal Sides – Recognizing the significance of having one pair of opposite sides that are both equal in length and parallel.