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Distance and Midpoint Word Problems 1. )On a map, Julie’s house is located at (−2,5 (and Jimmy’s house is at 6,−2). How long is the direct path from Julie’s house to Jimmy’s house? 2. The Riley and Brown families decided to go to a concert together. The Riley’s live 6 miles west and 3 miles north of the concert.
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.
Midpoint and Distance Notes, Applications, and Practice Quiz (& Solutions) Topics include number lines, cartesian plane, formulas, triangles, circles, and more. Mathplane.com
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 .
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.
Using the Distance Formula You can use the Distance Formula to fi nd the distance between two points in a coordinate plane. The Distance Formula is related to the Pythagorean Theorem, which you will see again when you work with right triangles in a future course. Distance Formula (AB)2 = (x 2 − x 1)2 + (y 2 − y 1)2 Pythagorean Theorem c2 ...
Use the DISTANCE FORMULA to find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. 1) (−2, 6), (4, −3) 2) (−6, −3), (1, −1) 3) (3, −2), (7, 4) 4) (−4, 8), (−6, 3) 5) (3, −5), (5, 4) Use the MIDPOINT FORMULA to find the midpoint of the line segment with the given endpoints.
