5
QuizMultiple Choice

Geometric Figures in the Coordinate Plane

Question 5 • Reading HS- Integrated Math I

What is the most specific name that can be given to a figure with the following coordinates? (–10, 8), (–7, 13), (3, 7), and (0, 2)

Answer
A
rectangle
B
square
C
trapezoid
D
parallelogram

Explanation

The side vectors are (3, 5), (10, −6), (−3, −5), and (−10, 6). Opposite sides are parallel, and adjacent sides are perpendicular because (3)(10) + (5)(−6) = 0. So the figure is a rectangle. Its adjacent side lengths are √34 and √136, which are unequal, so it is not a square.

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