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Coordinate Proof and Classification
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ACT Prep
ACTM.185 Coordinate Proof and Classification
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Which combined coordinate proof correctly classifies quadrilateral ABCD with vertices A(-2, 4), B(3, 6), C(7, 1), D(2, -1)?
A
All four side lengths are equal, so ABCD is a rhombus
B
Adjacent slopes are negative reciprocals, so ABCD is a rectangle
C
Opposite slopes match, and AB
2
= CD
2
= 29 while BC
2
= AD
2
= 41; ABCD is a parallelogram
D
Only one pair of sides is parallel, so ABCD is a trapezoid
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