8-1 Midpoint and Distance Formulas

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Presentation transcript:

8-1 Midpoint and Distance Formulas

Midpoint Formula The midpoint of a line segment with endpoints at (x1,y1) and (x2,y2) is the point Equal distances MIDPOINT

Find a midpoint of line segment… With endpoints (-5,6) and (1,7) Let (-5,6) = (x1,y1) and (1,7) = (x2,y2) Midpoint formula Substitute Simplify

Find a midpoint of line segment… With endpoints (4,5) and (14,13) Let (4,5) = (x1,y1) and (14,13) = (x2,y2) Midpoint formula Substitute Simplify

Distance Formula The distance between two points with coordinates (x1,y1) and (x2,y2) is given by d=

Find the distance between… points A(-3,6) and B(4,-4) Let (-3,6) = (x1,y1) and (4,-4) = (x2,y2) Distance formula Substitute Simplify

Find the distance between… points A(2,-4) and B(10,-10) Let (2,-4) = (x1,y1) and (10,-10) = (x2,y2) Distance formula Substitute Simplify

Step it up… Midpoint formula Substitute and Write equations. and Solve D(5,-1) is the midpoint of . If C has coordinates (3,2), what are the coordinates of E? Midpoint formula Substitute and Write equations. and Solve

Homework P414: 11-19odd, 25-31odd, 35 Note: The answers are in the book. Your homework is to show, algebraically, that the answers are correct. If you get stuck, try www.hotmath.com (logon: BHSHAWKS06) Simplify all radicals…DO NOT CONVERT TO DECIMAL FORM.