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1-7: Midpoint and Distance in the Coordinate Plane

Course: Geometry pre-IB Quarter: 1st Objective: To find the midpoint of a segment. To find the distance between two points in the coordinate plane. SSS: MA.912.G.1.1 Motivating the Lesson:

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Midpoint Formulas On a number line: the coordinate of the midpoint is the average of the coordinates of the endpoint. In the coordinate plane: the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints.

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Finding the Midpoint AB has endpoints at -4 and 9. What is the coordinate of its midpoint? EF has endpoints E(7, 5) and F(2, -4). What are the coordinates of its midpoint M?

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What is the midpoint of RS with endpoints R(5, -10) and S(3, 6)?

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Finding an Endpoint The midpoint of CD is M(-2, 1). One endpoint is C(-5, 7). What are the coordinates of the other endpoint D?

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The midpoint of LM is A(2, -1). One endpoint is L(-3, -5)

The midpoint of LM is A(2, -1). One endpoint is L(-3, -5). What are the coordinates of the other endpoint?

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Distance Formula The distance between two points A(x1, y1) and B(x2, y2) is

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Finding Distance What is the distance between U(-7, 5) and V(4, -3)? Round to the nearest tenth.

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SR has endpoints S(-2, 14) and R(3, -1)

SR has endpoints S(-2, 14) and R(3, -1) What is SR to the nearest tenth?

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