Geometric Coordinates Application

Over the last two weeks we have reviewed 3 applications where the x and y coordinates are key. The slope formula is another application. What are the 3 applications we have already covered that involve the x and y coordinates? Check the 3 correct answers.

• Pythagorean Theorem

• Distance Formula

• Equation of a Circle

• Midpoint Formula

Which equation allows you to find the midpoint of a line segment on a coordinate plane?

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Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

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Which equation could you use to write the equation of a circle in standard form?

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MGSE8.G.8: Graph and label triangle PQR whose vertices are located at P(-5, 2), Q(7, -3), R(7, 2).

MGSE8.G.8: T triangle PQR vertices are located at P(-5, 2), Q(7, -3), R(7, 2). Determine the length of line segment PQ.

MGSE8.G.8: T triangle PQR vertices are located at P(-5, 2), Q(7, -3), R(7, 2). Determine the length of line segment QR.

Find the distance between the two labeled points.

• 5

• 50

MGSE8.G.8: T triangle PQR vertices are located at P(-5, 2), Q(7, -3), R(7, 2). Determine the length of line segment RP.

Find the slope of the line.

• -2

• 2

• -1

• 1