The Distance Formula Lesson 9.5.

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Presentation transcript:

The Distance Formula Lesson 9.5

Find the distance between the two points: (4, 4) and (-6, 4) (-2, 6) and (-2, -5) (4, 6) and (-5, -3) 9 9 Count between 4 and -6. Distance is 10 units. Count between 6 and -5. Distance is 11 units. Draw in a right Δ. Use the Pythagorean Theorem to solve. 92 + 92 = c2 162 = c2 = c

Leave answer in lowest terms – reduce radical. Theorem 71: If P = (x1, y1) and Q = (x2, y2) are any two points, then the distance between them can be found with the formula PQ or Leave answer in lowest terms – reduce radical.

Find the distance between A (11, 10) and B (3, 7). 2 2

Mid-Point of a line. Midpoint = Find the mid-point of line AB when A is (11, 10) and B is (3, 7).

Identifying Shapes with Coordinates Rectangle

If D = (7, 1), E = (9, -5) and F = (6, 04), find the length of the median from F to DE. Find the midpoint M of DE. (8, -2) Use the distance formula to find FM. FM =