Question

A quadrilateral with both pairs of opposite sides parallel is a parallelogram. Use slopes to determine whether each figure is a parallelogram.If a // b and c // d in the figure below, then the value of x must be?

A) 90 degrees.
B) 180 degrees.
C) 270 degrees.
D) 360 degrees.

Answer 1

If a quadrilateral has both pairs of opposite sides parallel, it is a parallelogram.

Step-by-step explanation:

To determine whether a figure is a parallelogram, we can use the concept of slopes. If two pairs of opposite sides of a quadrilateral are parallel, then it is a parallelogram. In this case, if lines a and b are parallel, and lines c and d are parallel, it implies that the figure is a parallelogram.

The value of x does not need to be determined for this question, as the given information already confirms that the figure is a parallelogram with both pairs of opposite sides parallel.