1.8 Midpoint & Distance Formula in the Coordinate Plane Objective: Develop and apply the formula for midpoint. Use the Distance Formula and the Pythagorean.

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Presentation transcript:

1.8 Midpoint & Distance Formula in the Coordinate Plane Objective: Develop and apply the formula for midpoint. Use the Distance Formula and the Pythagorean Theorem to find the distance between two points.

1.8 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 LineCoordinate Plane

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

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

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?

Distance Formula The distance between two points A(x 1, y 1 ) and B(x 1, y 1 ) is

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