Question

The slopes of the sides of quadrilateral defg are 14, -35, 14, and 12. Which statement correctly describes the shape of quadrilateral defg? True or false: the quadrilateral is a parallelogram.

1) True
2) False

Answer 1

The quadrilateral DEFG is not a parallelogram.

Step-by-step explanation:

The slopes of the sides of quadrilateral DEFG are 14, -35, 14, and 12.

To determine if DEFG is a parallelogram, we need to check if opposite sides have the same slope.

Since the slopes of the opposite sides are 14 and -35, which are not equal, we can conclude that the quadrilateral DEFG is not a parallelogram.

Therefore, the answer is False.