Law of Sines (Sec 8-3) — Unit test

Question 6 • Fall 24 GMS Geometry: Concepts and Connections B

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

Answer

Use the distance formula to find the length of each side, and then add the lengths.

Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.

Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.

Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Explanation

Perimeter is the total distance around a figure. Use the distance formula on each pair of consecutive vertices to find the four side lengths, then add those lengths. The slope formula checks direction, not side length, and multiplying side lengths does not give the perimeter.

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