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.

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s1677012 s1677012 · Answer 1 · 2021-09-29T15:44:14+02:00

Answer:

D (Yes; AB←→ is parallel to CD←→, and AC←→ is parallel to BD←→. The two pairs of parallel lines are perpendicular to each other.)

Step-by-step explanation:

1. Plot the points on a coordinate plane

2. You can eliminate A and B because the points do make a rectangle

3. See that AB is parallel to CD so you can eliminate C

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