27
QuizMultiple Choice

Figures in the Coordinate Plane — Quiz

Question 27 • MASTER COURSE Geometry

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

Answer
A
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
B
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
C
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
D
Use the distance formula to find the length of each side, and then add the lengths.

Explanation

Find the length of each side by applying the distance formula to the coordinates of its two endpoints. Then add the four side lengths to get the perimeter. The distance formula measures lengths; the slope formula only describes the sides’ directions, and multiplying side lengths does not give perimeter.

AI-written and checked against the verified answer.

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