Vocabulary The distance between any two points (x 1, y 1 ) and (x 2, y 2 ) is Distance Formula 9.6Apply the Distance/Midpoint The midpoint of a line segment.

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Presentation transcript:

Vocabulary The distance between any two points (x 1, y 1 ) and (x 2, y 2 ) is Distance Formula 9.6Apply the Distance/Midpoint The midpoint of a line segment is the point on the segment that is equidistant from the endpoints. Midpoint The midpoint M of a line segment with endpoints A(x 1, y 1 ) and B(x 2, y 2 ) is Midpoint Formula

Example 1 Find the distance between two points Find the distance between (4,  3) and (  7, 2). 9.6Apply the Distance/Midpoint Distance Formula Substitute. Simplify. The distance between the points is ______ units.

Checkpoint. Complete the following exercises. 1. Find the distance between 1. Find the distance between (2,  3) and (5, 1). 9.6Apply the Distance/Midpoint

Example 3 Find the midpoint of a line segment Find the midpoint of the line segment with endpoints (  3, 7) and (  1, 11). 9.6Apply the Distance/Midpoint The midpoint of the line segment is (____, ____).

Checkpoint. Find the midpoint of the line segment with the given endpoints. 9.6Apply the Distance/Midpoint

Checkpoint. Find the midpoint of the line segment with the given endpoints. 9.6Apply the Distance/Midpoint

Example 2 Find a missing coordinate Find the distance between (5, a) and (9, 6) is 9.6Apply the Distance/Midpoint Distance Formula Substitute. Simplify. The distance between the points is ______ units.

9.6Apply the Distance/Midpoint