Regents Exam Questions - G.g.69 Quadrilaterals In The Coordinate Plane 2 Worksheet With Answers Page 6
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8ID: A
6 ANS:
. To prove that TEAM is a rhombus, show that all sides are congruent using the distance formula:
. A square has four right angles. If TEAM is a square, then
,
,
and
. Lines that are perpendicular have slopes that are opposite reciprocals of each
other. The slopes of sides of TEAM are:
Because
and
are not
opposite reciprocals, consecutive sides of TEAM are not perpendicular, and TEAM is not a square.
REF: 010533b
7 ANS:
. To prove that ABCD is a trapezoid, show that one pair of opposite sides of the figure is parallel
by showing they have the same slope and that the other pair of opposite sides is not parallel by showing they do
not have the same slope:
REF: 080134b
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