Quadrilateral EFGH has vertices at E(–6,–4), F(–5,4), G(3,3), and H(4,–5).Is EFGH a parallelogram? Justify your answer.

Question

Quadrilateral EFGH has vertices at E(–6,–4), F(–5,4), G(3,3), and H(4,–5).Is EFGH a parallelogram? Justify your answer.
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Solution 1

To determine if quadrilateral EFGH is a parallelogram, we need to check if both pairs of opposite sides are equal.

The formula to calculate the distance between two points (x1, y1) and (x2, y2) is √[(x2 - x1)² + (y2 - y1)²].

Let's calculate the lengths of the sides:

EF = √[(-5 - -6)² + (4 - -4)² Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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