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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.
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?
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 .
The Midpoint Formula Date_____ Period____ Find the midpoint of each line segment. 1) x y −4 −2 2 4 −4 −2 2 4 2) x y −4 −2 2 4 −4 −2 2 4 3) x y ... (−1, −4)-2-Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com. Title: 3-The Midpoint Formula
The Midpoint Formula Date_____ Period____ Find the midpoint of the line segment with the given endpoints. 1) ( 7, 4 ) , ( 9, −1 ) 2) ( 8, −9 ) , ( 0, 5 )
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.
(6, -2) (-4, 7) (5, -.5) (-3, 2.5) 3. The distance between (x, -6) and (-5, 2) is 10. What does x equal? 4. length midpoint 5. Find the midpoint of the line between these points: Hint: x could have more than one value. What is the length of the line segment between these points? What are the coordinates of the midpoint of the line segment? M is ...
