The halfway point on a line segment The average distance Example find the midpoint of (1, 5) and...
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Transcript of The halfway point on a line segment The average distance Example find the midpoint of (1, 5) and...
Coordinate Geometry
The halfway point on a line segment The average distance
Example find the midpoint of (1, 5) and (3, -3)
midpoint = (2, 1)
Midpoint
)2
,2
(midpoint 2121 yyxx
2
35,
2
31midpoint
Distance2
122
12 )()( yyxxd Find the distance between (2, 3) and (-1, 7)
22 )37()21( d22 )4()3( d
169 d
525 d
Parallel lines = same slope Perpendicular lines = opposite reciprocal
slope
Slope
run
rise
xx
yySlope
12
12
Example◦ Find the slope of the line containing (1, 4) and (3, 8)
x1 y1 x2 y2
Slope
13
48
m
2
4m
2m
The price of a vase and 6 roses is $15. The price of a vase and 12 roses is $27. What is the price of one rose?
two points (6, 15) and (12, 27)
The change in the slope represents the cost of one flower.
Meaning of slope
26
12
612
1527
m
Click on the protractor below to practice reading angles via the internet
You will be asked to draw an angle Place the protractor over it Make a guess and then check your answer
Read the Protactor
Surface area—◦ The area of all the faces of a solid
Volume—◦ the amount an item can hold
L = length, W = width, H = height, B = area of base, b = length of base, n = number of faces, s=edge of a cube, s = slant height of face, r = radius
Surface Area and Volume
Click for formulas
The sum of the area of all faces Click on the shapes below to find their
surface areas
Surface Area
Click for video explanation
CLICK for infoCLICK for info
No Link
Click on each for information On volume
Volume
Click for video explanation
CLICK for infoCLICK for info
CLICK for info
CLICK for info
