Kaidled6206 Kaidled6206

11-01-2022
Mathematics

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The slopes of the sides of quadrilateral PQRS are −23, 78, −23, and 1112. Which statement correctly describes the shape of quadrilateral PQRS?

Quadrilateral PQRS is not a trapezoid, because there are no pairs of parallel sides.

Quadrilateral PQRS is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel sides.

Quadrilateral PQRS is a parallelogram because there are two pairs of equal slopes, and thus two pairs of parallel sides.

Quadrilateral PQRS is not a parallelogram, because there are no pairs of parallel sides.

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11-01-2022

Answer:

B. Quadrilateral PQRS is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel sides.

Step-by-step explanation:

Given:

The slopes of the sides of quadrilateral PQRS are −23, 78, −23, and 1112.

As we see two of the slopes are same, indicating a pair of parallel sides.

The other two slopes are different, so there is only one pair of parallel sides.

This is a definition of a trapezoid.

Correct choice is B

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