Question

When given the information below, can you conclude that Quadrilateral WXYZ is a parallelogram? Why or why not?

In Quadrilateral WXYZ, the sides have the following slopes:
WX: m = 1/3
XY: m = -3
YZ: m = -3
WZ: m = 1/3
A) No, because opposite sides are not congruent
B) No, because opposite sides are not parallel
C) Yes, because opposite sides are congruent
D) Yes, because opposite sides are parallel

Answer 1

B) No, because opposite sides are not parallel

Step-by-step explanation:

Given this information, assume that quadrilateral WXYZ is a parallelogram then we expect;

Parallel sides to be : WX // YZ   and XY // WZ

Additionally, we know parallel sides have equal gradient thus;

The slope of side WX= slope of side YZ and the slope of side XY= that of side WZ

However, from the information given, m of WX= 1/3 and that of YZ is -3, thus the two sides are not parallel to each other but perpendicular to each other because the product of their slope equals -1.

Learn More

Properties of a parallelogram :https://brainly.com/question/14626378#

Keywords : conclude, quadrilateral, parallelogram, slope, sides

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