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Published byBartholomew Benjamin Carson Modified over 4 years ago

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Midpoint and Distance in the Coordinate Plane

You can use formulas to find the midpoint and the length of any segment in the coordinate plane. Number Line Coordinate Plane

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Finding the Midpoint Segment AB has endpoints at -4 and 9. What is the coordinate of its midpoint?

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

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Finding the Midpoint Find the coordinates of the midpoint of EF with endpoints E(–2, 3) and F(5, –3).

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Finding the Midpoint Find the coordinates of the midpoint of PQ with endpoints P(–8, 3) and Q(–2, 7). = (–5, 5)

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

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Finding an Endpoint M is the midpoint of XY. X has coordinates (2, 7) and M has coordinates (6, 1). Find the coordinates of Y. Step 1 Let the coordinates of Y equal (x, y). Step 2 Use the Midpoint Formula:

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Finding an Endpoint Step 3 Find the x-coordinate.

Set the coordinates equal. Multiply both sides by 2. 12 = 2 + x Simplify. 2 = 7 + y – 7 –7 – 2 –2 Subtract. –5 = y 10 = x Simplify. The coordinates of Y are (10, –5).

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