Question

ABCD is a quadrilateral with A located at (3,4) and B located at (7, 6). What must be the slope of BC in order for ABCD to be a rectangle? image

A.
-2

B.
1
2


C.
−
1
2


D.
2

Answer 1

Slope of AB = (6−4)/(7−3) = 2/4 = 1/2. For a rectangle adjacent sides are perpendicular, so slope(BC) = negative reciprocal = −2.

Answer: A (−2).