How to Find a Midpoint of two points on a Number Line - take the average of the coordinates , where M is the coordinate of the midpoint, and x1 and.

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Presentation transcript:

How to Find a Midpoint of two points on a Number Line - take the average of the coordinates , where M is the coordinate of the midpoint, and x1 and x2 are the coordinates of the endpoints of the segment.

Example 1: Find the midpoint of EW if E is -3 and W is 27.

How to Find a Midpoint of two points on a Coordinate Plane Remember, ordered pairs are always written (x , y) Take the average of the x coordinates. Take the average of the y coordinates. Your answer will be an ordered pair!

Example 2: Find the midpoint of the coordinates T(8, 5) U(4, 3).

You Try It… Find the midpoint of the coordinates P(3, 5) U(7, -9).

The Distance Formula In order to find the distance between two ordered pairs on the coordinate plane we can use the distance formula. The distance formula can be derived from the Pythagorean Theorem

Think Pythagorean Theorem

The Distance Formula

Example 3: Use the Distance Formula Find the distance between points R and T to the nearest tenth R(2, 3) T(5, 7)

Example 4: Use the Distance Formula Find the distance between points R and T to the nearest tenth R(-2, -3) T(5, 7)

You Try It…Use the Distance Formula Find the distance between points R and T to the nearest tenth R(2, 3) T(-5, -7)

One More!...Use the Distance Formula Find the distance between points R and T to the nearest tenth R (-2, 6) T (6, -2)