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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.
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.
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.
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 and Midpoint Formula. Essential Questions: o How do algebra and geometry work together within the coordinate plane? Goal: . I can find the distance and midpoint on the coordinate plane, as well as algebraically. Key Ideas/Vocabulary: Distance Formula . x . 2. x . 2. y y. 2 1 2.
The Midpoint Formula Date_____ Period____ Find the midpoint of each line segment. 1) x y −4 −2 2 4 −4 ... Critical thinking questions: 27) Find the point that is one-fourth of the way from (2, ... 25) Endpoint: (−9, 7), midpoint: (10 , −3) (29 , −13) 26) Endpoint: (−6, 4), midpoint: (4, 8) (14 , 12) Critical thinking questions:
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 .
