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

O Use the distance formula to find the length of each side, and then add the lengths.
O Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
O Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicula
O Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

2 Answers

4 votes

Answer:

The correct option is: Use the distance formula to find the length of each side, and then add the lengths.

Explanation:

The correct option is: Use the distance formula to find the length of each side, and then add the lengths.

To find the perimeter of a quadrilateral in the coordinate plane, you can use the distance formula to calculate the length of each side. The distance formula is derived from the Pythagorean theorem and can be used to find the distance between two points (x₁, y₁) and (x₂, y₂):

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

By applying this formula to each pair of consecutive vertices in the quadrilateral, you can determine the length of each side. Once you have the lengths of all four sides, you can add them together to find the perimeter of the quadrilateral.

User Rishie
by
8.8k points
2 votes

Answer:

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

Explanation:

User Nuetrino
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8.4k points

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