89901
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Equations of Parallel and Perpendicular Lines

Question 89901 • Geometry, VIA Fall 26, [email protected]

A quadrilateral has vertices E(–4, 2), F(4, 7), G(8, 1), and H(0, –4). Which statements are true? Check all that apply.The slope of EH is [image 1] .The slopes of EF and GH are both [image 2] .FG is perpendicular to GH.Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.Quadrilateral EFGH is a rectangle because all angles are right angles.

Question illustration
Answer
A
The slope of EH is .
Option A
B
The slopes of EF and GH are both .
Option B
C
FG is perpendicular to GH.
D
Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.
E
Quadrilateral EFGH is a rectangle because all angles are right angles.
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