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  1. 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.

  2. 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.

  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.

  4. 9.7 Applications of the Midpoint and Distance Formula. You can apply the midpoint formula and the distance formula in real life situations. Example 8: Step 1: Step 2: On a map’s coordinate grid, Merryville is located at (2> 4) and Sillytown is located at (2> 2). Bluxberg is the midpoint between Merryville and Sillytown.

  5. 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?

  6. 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 . Set up the Pythagorean Theorem and solve for the length of the segment.

  7. The Midpoint Formula Date_____ Period____ Find the midpoint of each line segment. 1) x y −4 −2 2 4 −4 −2 2 4 (−3, −3) 2) x y −4 −2 2 4 −4 −2 2 4 (−1 1 2 ... I.2 Y kA Fl 6l o rXi3g DhYtVsY UrCe bsde6r5vXeBdc.7 r hM8aidde c WwRi nt 5hj XIwnLfXiKniUtse e uGyepowmpeZt CrGyS. 7 Worksheet by Kuta Software LLC