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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.
The Midpoint Formula Date_____ Period____ Find the midpoint of each line segment. 1) x y −4 −2 2 4 ... (2, 5), midpoint: (5, 1) (8, −3) 23) Endpoint: (5, 2), midpoint: (−10 , −2) ... (−1, −4)-2-Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com.
Find the distance between (-2, 5) and (4, 7). Using Distance Formula: Using Pythagorean Theorem: (4:7) 2 10 A vertical line drawn from (4, 7) intersects a horizontal line from (-2, 5) at (4, 5).. These a fight triangle! Then, using the pythagorean theorem, the hypotenuse is 2 10 (x 10 (x 2' y) 2 36 4 2
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 .
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 2 2 1 2 x2 x1 y y
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.
Distance and Midpoint 1. Find the midpoint of the segment with the following endpoints: a. 58, and 26, b. (-8, 3) and (4, -1) 2. Find the distance between the given points : a. and ) b. and ) 3. The given points are the endpoints of a diameter. Find the center and radius. 4
