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  1. 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.

  2. 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.

  3. Midpoint and Distance Formula. Date________________ Period____. Find the midpoint of the line segment with the given endpoints. 1) (-2, -4), (-5, 7) 3) (5, -6), (-8, 9) 5) (5, -3), (6, 4) 7) (4, -8), (2, -10) 9) (5, 10), (6, 6) 2) (2, 10), (9, 2)

  4. 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 ... Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com. Title: 3-The Midpoint Formula

  5. Distance and Midpoints Use the number line to find each measure. 1. VW 2. TV 3. ST 4. SV Find the distance between each pair of points. 5. x y O M Z 6. x y O E S 7. L(-7, 0), Y(5, 9) 8. U(1, 3), B(4, 6) 9. ... Find the coordinates of the missing endpoint if E is the midpoint of DF

  6. 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.

  7. Section 1: Find Distance on a Number Line. 1) Use the number line to find QR. YT 1) Use the number line to find AX. Answer: Section 2: Find Distance on a Coordinate Plane. 2) Find the distance between E(-4, 1) and F(3, -1). Answer: YT2) Find the distance between A(-3, 4) and . Algebraically: Geometric: M(1, 2). Algebraically: Geometric:

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