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1.8 Distance and Midpoint Formulas 1 January 06, 2010 Lined paper large Intro to 6.1 1.8 Distance and Midpoint Formulas Find the distance between two points. Objectives: Find the midpoint between two points.

1.8 Distance and Midpoint Formulas - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka...1.8 Distance and Midpoint Formulas 5 January 06, 2010 Oct 27 12:52 PM Midpoint

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Page 1: 1.8 Distance and Midpoint Formulas - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka...1.8 Distance and Midpoint Formulas 5 January 06, 2010 Oct 27 12:52 PM Midpoint

1.8 Distance and Midpoint Formulas

1

January 06, 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.

Page 2: 1.8 Distance and Midpoint Formulas - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka...1.8 Distance and Midpoint Formulas 5 January 06, 2010 Oct 27 12:52 PM Midpoint

1.8 Distance and Midpoint Formulas

2

January 06, 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)

Page 3: 1.8 Distance and Midpoint Formulas - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka...1.8 Distance and Midpoint Formulas 5 January 06, 2010 Oct 27 12:52 PM Midpoint

1.8 Distance and Midpoint Formulas

3

January 06, 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).

Page 4: 1.8 Distance and Midpoint Formulas - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka...1.8 Distance and Midpoint Formulas 5 January 06, 2010 Oct 27 12:52 PM Midpoint

1.8 Distance and Midpoint Formulas

4

January 06, 2010

Jan 4­3:44 PM

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

Page 5: 1.8 Distance and Midpoint Formulas - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka...1.8 Distance and Midpoint Formulas 5 January 06, 2010 Oct 27 12:52 PM Midpoint

1.8 Distance and Midpoint Formulas

5

January 06, 2010

Oct 27 ­ 12:52 PM

Midpoint Formulax1 + x2   y1 + y2( )2 2,

This expression helps you find the midpoint between two points: (x1, y1) and (x2, y2).

Page 6: 1.8 Distance and Midpoint Formulas - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka...1.8 Distance and Midpoint Formulas 5 January 06, 2010 Oct 27 12:52 PM Midpoint

1.8 Distance and Midpoint Formulas

6

January 06, 2010

Oct 27 ­ 12:52 PM

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,

Page 7: 1.8 Distance and Midpoint Formulas - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka...1.8 Distance and Midpoint Formulas 5 January 06, 2010 Oct 27 12:52 PM Midpoint

1.8 Distance and Midpoint Formulas

7

January 06, 2010

Oct 27 ­ 12:52 PM

Homework:  page 56 (1 ­ 6, 18 ­ 21)