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; ←→ A B ↔ is perpendicular to ←→ A C ↔ , but this is the only pair of perpendicular s connecting these points.
B. No; ←→ A B ↔ is parallel to ←→ C D ↔ , but this is the only pair of parallel s connecting these points. '
C. Yes; ←→ A B ↔ is perpendicular to ←→ C D ↔ , and ←→ A C ↔ is perpendicular to ←→ B D ↔ . The two pairs of perpendicular s intersect to form a rectangle.
D. Yes; ←→ A B ↔ is parallel to ←→ C D ↔ , and ←→ A C ↔ is parallel to ←→ B D ↔ . The two pairs of parallel lines are perpendicular to each other.
