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Distance, Midpoint, and Slope Formulas. Find the distance between each pair of points. 1) (0, -8), (-6, 0) 3) (4, 3), (-3, 6) 5) (-1, -6), (3, 7) 7) y.
Use the distance and midpoint formulas in real-life. p situations. Your Notes. THE DISTANCE FORMULA. The distance d between the points (x1, y1) and (x2, y2) is as. follows: d (x 2. x 1)2. (y. 2. y 1)2. Example 1. Finding the Distance Between Two Points. Find the distance between (4, 5) and ( 2, 7). Let (x1, y1) (4, 5) and (x2, y2) ( 2, 7).
Distance Formula and Pythagorean Theorem Example: The distance between (3, 4) and (x, 7) is 5 units. Find x. Using the distance formula: (3 —x)2 + (4—7) x) 3 Solving Graphically (Pythagorean Theorem) Example: b b 3 -5 4 or -4 The length of segment AB is 20. If the coordinate of Ais (5, 1), and the coordinate of B is (-6, y), what is b?
The Distance and Midpoint Formulas Learning Objectives: 1. Use the Distance Formula 2. Use the Midpoint Formula Examples: 1. Find the distance between the points (-3,7) and (4,10). 2. Determine whether the triangle formed by points A=(-2,2), B=(2,-1), and C=(5,4) is a right triangle. 3.
Practice 11-3. Distance and Midpoint Formulas. The table has sets of endpoints of several segments. Find the distance between each pair of points and the midpoint of each segment. Round to the nearest tenth when necessary. Find the perimeter of each figure. Round to the nearest tenth when necessary. 7.
Deriving the formula for distance: Plot two points and label them and . Connect the two points with a segment. Draw a right triangle by using the segment as the hypotenuse. Label the legs and (across from the angles and ). Write the distance and in terms of and .
The Midpoint Formula Date_____ Period____ Find the midpoint of each line segment. 1) x y −4 −2 2 4 −4 −2 2 4 2) x y −4 −2 2 4 −4 −2 2 4 3) x y −4 −2 2 4 −4 −2 2 4 ... Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com. Title: 3-The Midpoint Formula
