MIDPOINT FORMULA. Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint" which is the.

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Midpoint and Distance Formulas

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Presentation transcript:

MIDPOINT FORMULA

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint" which is the point that is exactly between two other points. Technically, the Midpoint Formula is the following:

Example: Find the midpoint of the following points 1. A(2,3) B(6,7) (2+6) 2 (3+7) 2, ( ) , ( ), ( ) 45

Example: Find the midpoint of the following points 1. A(5,3) B(2,9) (5+2) 2 (3+9) 2, ( ) , ( ), ( ) 6 7 2

Your Turn! Find the midpoint of the following ordered pairs 1. (2, 7)(6,9) 2. (12, 2)(1,19) 3. (22, 5)(4,21) 4. (20, 10)(35,20) 5. (-2, 5)(3,-2) 1. (4, 8) 2. (13/2, 21/2) 3. (13, 13) 4. (55/2, 15) 5. (1/2, 3/2)

2 points make a line

● Graph the Following lines with its midpoint 1. A(2,3) B(2,1), ( ) 22 ● ●

Find and graph the midpoint of the following points 1. (0, 7)(6,3) 2. (11, 3)(1,19) 3. (2, 5)(6,7) 4. (20, 10)(10,20) 5. (-2, 5)(8,-3) 1. (3, 5) 2. (6, 11) 3. (4, 6) 4. (15, 15) 5. (3, 2)

Practice 1. (0, 7)(0,5) 2. (10, 3)(2,5) 3. (12, 9)(6,7) 4. (10, 1)(4,9) 5. (-8, 5)(6,-3) 1. (0, 6) 2. (6, 4) 3. (9, 8) 4. (7, 5) 5. (-1, 1) ANSWERS: