Do the following points give the vertices of a rectangle? Justify your answer. A(0, 10) B(3, 6) C(8, 16) D(11, 12)
A. No; AB←→ is perpendicular to AC←→−, but this is the only pair of perpendicular s connecting these points.
B. No; AB←→ is parallel to CD←→−, but this is the only pair of parallel s connecting these points.
C. Yes; AB←→ is perpendicular to CD←→−, and AC←→− is perpendicular to BD←→−. The two pairs of perpendicular s intersect to form a rectangle.
D. Yes; AB←→ is parallel to CD←→−, and AC←→− is parallel to BD←→−. The two pairs of parallel lines are perpendicular to each other.