If a quadrilateral has two pairs of opposite sides that are equal, what can be c

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Question: If a quadrilateral has two pairs of opposite sides that are equal, what can be concluded about the quadrilateral?

Options:

Correct Answer: It is a parallelogram

Solution:

A quadrilateral with two pairs of opposite sides that are equal is a parallelogram by definition.

If a quadrilateral has two pairs of opposite sides that are equal, what can be concluded about the quadrilateral?

If a quadrilateral has two pairs of opposite sides that are equal, what can be concluded about the quadrilateral?

Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Identify the sides of the quadrilateral. Label the sides as AB, BC, CD, and DA.
Step 3: Check if there are two pairs of opposite sides that are equal. This means AB = CD and BC = DA.
Step 4: Recall the definition of a parallelogram. A parallelogram is a quadrilateral where opposite sides are equal.
Step 5: Since the quadrilateral has two pairs of opposite sides that are equal, it fits the definition of a parallelogram.
Step 6: Conclude that the quadrilateral is a parallelogram.

Properties of Quadrilaterals – Understanding the characteristics of quadrilaterals, specifically the definition and properties of parallelograms.
Opposite Sides – Recognizing that equal opposite sides is a key property that defines parallelograms.