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1.8 Distance and Midpoint Formulas 2010
1
November 15, 2010
Lined paper large
Intro to 6.11.8 Distance and
Midpoint Formulas
Find the distance between two points.Objectives:
Find the midpoint between two points.
1.8 Distance and Midpoint Formulas 2010
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November 15, 2010
Jan 43:42 PM
Review: Plot the following points on a coordinate plane.
A (3, 5)B (0, 4)C (4, 2)D (2, 3)
1.8 Distance and Midpoint Formulas 2010
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November 15, 2010
Oct 27 12:52 PM
Distance Formula
d = ﴾x2 x1﴿2 + ﴾y2 y1﴿
2
This formula helps you find the distance between two points: (x1, y1) and (x2, y2).
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Example #1: Find the distance between (5, 2) and (4, 1).d = ﴾x2 x1﴿
2 + ﴾y2 y1﴿2
Example #2: Find the distance between (1, 3) and (2, 4).d = ﴾x2 x1﴿
2 + ﴾y2 y1﴿2
1.8 Distance and Midpoint Formulas 2010
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Midpoint Formula
x1 + x2 y1 + y2﴾ ﴿2 2,
This expression helps you find the midpoint between two points: (x1, y1) and (x2, y2).
1.8 Distance and Midpoint Formulas 2010
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November 15, 2010
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Example #3: Find the midpoint between (8, 2) and (4, 6).
Example #4: Find the midpoint between (9, 1) and (3, 5).
x1 + x2 y1 + y2﴾ ﴿2 2,
x1 + x2 y1 + y2﴾ ﴿2 2,
1.8 Distance and Midpoint Formulas 2010
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Oct 27 12:52 PM
Homework: page 56 (1 6, 18 21)
