McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
6. Trapezoids and Kites
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Exercise 54 Page 528

Recall the definition of a kite.

Never

Practice makes perfect

We want to state whether one pair of opposite sides in a kite is always, sometimes, or never parallel. Let's begin by recalling the definition of a kite.

Definition of a Kite

A kite is a quadrilateral with exactly two pairs of consecutive congruent sides. Unlike a parallelogram, the opposite sides of a kite are not congruent or parallel.

This means that one pair of opposite sides are never parallel in a kite.

Extra

Parallel Opposite Sides

We know that the opposite sides are never parallel in a kite. Now we can find a figure that has one pair of parallel opposite sides. Let's consider the definition of a trapezoid.

Definition of a Trapezoid

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

By the definition of a trapezoid, we can conclude that a figure that has one pair of parallel opposite sides is a trapezoid.