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How well can you find the perimeter and area of squares and triangles in a coordinate plane?

Practice calculating the perimeter and area of squares and triangles in the coordinate plane by completing the activity below. Answer the question on each tab, and then check your answer.

Square on the coordinate plane with vertices at: (1, 11), (1, 1), (11, 1), and (11, 11).

Use the coordinate plane to find the length of each side of the square and find the square’s perimeter.

Triangle on the coordinate plane with vertices at: (1, -2), (1, -10), and (12, -10). The longest side is labelled 13.6.

For the right triangle above, the length of the longest side is 13.6 units. Use the coordinate plane to find the height, base, and perimeter of the triangle.

Square on the coordinate plane with vertices at: (-8, 9), (-8, 5), (-4, 5), and (-4, 9).

Using the coordinate plane, find the area of the square.