Transcript and (3,-4)
Do Now 5/18/11
Take out HW from last night.
Copy HW in your planner.
Punchline worksheets #115 & 116.
Text p. 479, #8-18 evens, 19-22 all, 28-32 evens & 44
Quiz sections 9.3 & 9.5 Friday
In your journal, find the following regarding points on
a coordinate plane.
What is the distance between the two points (2, 3) & (2, 7)?
What is the distance between the two points (2, 3) & (-5, 3)?
What is the distance between the two points (2, 7) & (-5, 3)?
Homework
Punchline worksheets 115 & 116
Did You Hear About…
THE MATH STUDENT WHO WALKED
AROUND A CITY BLOCK BY TAKING A
SQUARE ROUTE?
Where Does the Scent of a Lady’s Perfume Go?
NO ONE NOSE
Coordinate Plane
y-axis
Quadrant II
(-,+)
Origin
(0,0)
Quadrant I
(+,+)
x-axis
Quadrant III
(-,-)
Quadrant IV
(+,-)
Plotting Points
ordered
pair
(2,4)
y-axis
(-3,4)
5
C
4
A
3
(2,-3)
2
1
-6
-5
x-axis
-4
-3 -2 -1
0
1
2
3
-1
-2
(-6,-4)
-3
D
-4
-5
B
4
5
6
Describe the Location of Each Point.
y-axis
5
Quadrant 2
Quadrant 1
4
3
C
2
x-axis
A
1
-6
-5 F -4
-3 -2 -1
0
x-axis
Quadrant 3
D
1
2
3
4
5
6
-1
Quadrant 4
-2
E
-3
-4
-5
B
y-axis
Objective
SWBAT find the distance between two
points
SWBAT find the midpoint of a line
segment
What is the distance between points A and B?
y-axis
(-3,4)
(2,4)
5
4
A
C
3
2
7 units
1
-6
-5
x-axis
-4
-3 -2 -1
0
1
2
3
4
5
-1
-2
-3
-4
-5
B
(2,-3)
6
What is the distance between points C and A?
5 units
y-axis
(-3,4)
(2,4)
5
4
A
C
3
2
1
-6
-5
x-axis
-4
-3 -2 -1
0
1
2
3
4
5
-1
-2
-3
-4
-5
B
(2,-3)
6
What is the distance between points C and B?
y-axis
(-3,4)
(2,4)
5
4
A
C
3
2
1
-6
-5
x-axis
-4
-3 -2 -1
0
1
2
3
4
5
-1
-2
-3
-4
-5
B
(2,-3)
6
Section 9.5 “The Distance and
Midpoint Formulas”
Distance Formula
y
To find the distance
between two points
( x2 , y2 )
( x1 , y1 )and( x2 , y2 )
( x1 , y1 )
x
d ( x2 x1 ) ( y2 y1 )
2
2
Find the distance between (6,3) and (5,7)
Let( x1 , y1 ) (6,3)
Let( x2 , y2 ) (5,7)
d ( x2 x1 ) 2 ( y2 y1 ) 2
d (5 6) (7 3)
2
d ( 1) 2 ( 4) 2
d 1 16
d 17
d 4.1
2
Find the distance between (-1,3) and (5,2)
Let( x1 , y1 ) (1,3)
Let( x2 , y2 ) (5,2)
d ( x2 x1 ) 2 ( y2 y1 ) 2
d (5 (1)) (2 3)
2
d (6) 2 ( 1) 2
d 36 1
d 37
d 6.1
2
Section 9.5 “The Distance and
Midpoint Formulas”
y
Midpoint Formula
The midpoint (middle point) between
two points can be found by:
x1 x2 y1 y2
,
2
2
( x2 , y2 )
( x1 , y1 )
x
Find the midpoint of a line segment
with endpoints (-1,-2) and (3,-4)
Let( x1 , y1 ) (1,2)
Let( x2 , y2 ) (3,4)
x1 x2 y1 y2
,
2
2
1 3 2 (4)
,
2
2
2 6
,
2 2
1,3
Find the midpoint of a line segment
with endpoints (6,-3) and (4,-7)
Let( x1 , y1 ) (6,3)
Let( x2 , y2 ) (4,7)
x1 x2 y1 y2
,
2
2
6 4 3 (7)
,
2
2
10 10
,
2 2
5,5
Homework
Text p. 479, #8-18 evens, 19-22 all, 28-32 evens & 44