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This document provides information and examples about the coordinate plane, distance formula, and midpoint formula. It defines key terms like quadrant, distance, and midpoint. Examples are provided to find distances between points, find midpoints, and use the midpoint to find a missing endpoint.
Midpoint and Distance Formulas Find the midpoint of the line segment with the given endpoints. 1) (−4, −2), (3, 3) 2) (−1, 0), (−3, −4) Find the other endpoint of the line segment with the given endpoint and midpoint. 3) Endpoint: (−5, 4), midpoint: (−10, −6) 4) Endpoint: (−8, 8), midpoint: (5, −3)
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.
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.
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?
Our midpoint and distance formula worksheets will enhance your students’ skills in calculating midpoints and distances. The math worksheets feature a variety of problems that require students to apply the distance or midpoint formula to solve.
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.
