Please help w/ this thx
2 answers:
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Answer:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points and
is given by,
Slope =
Slope of AB =
=
Slope of AD =
= Not defined (Parallel to y-axis)
Slope of DC =
=
Slope of BC =
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC =
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.