bellwork find the geometric mean of 32 & 5 find the geometric mean of 32 & 5 find the...
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Bellwork Find the geometric mean of 32 & 5 Find the geometric mean of 75 & 18 What are the new coordinates for a dilation of an object with
vertices (2,3), (5,4) & (-2,5) if a scale factor of 5 is used? Bill kicks a ball in a straight line towards the top of a building.
Bob is standing nearby and the ball nearly misses his head. Bob is 6 feet tall and the building is 20 feet tall. If Bob is standing 15 feet away from Bill, how far away is Bob from the building?
Clickers
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Bellwork Solution Find the geometric mean of 32 & 5
32 5 x2 16 5 x
4 10x
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Bellwork Solution Find the geometric mean of 75 & 18
75 18 x25 3 9 2 x
5 3 3 2 x15 6x
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Bellwork Solution What are the new coordinates for a dilation of an object with
vertices (2,3), (5,4) & (-2,5) if a scale factor of 5 is used?
(2,3)
(5,4)
( 2,5)
(10,15)
(25,20)
( 10,25)
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Bellwork Solution Bill kicks a ball in a straight line towards the top of the building.
Bob is standing nearby and the ball nearly misses his head. Bob is 6 feet tall and the building is 20 feet tall. If Bob is standing 15 feet away from Bill, how far away is Bob from the building?
6 15
20 156(15 ) 300
x
xBuilding
6
15
20
x
90 6 300 x6 210x
35x ft
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Test PreparationDay
Chapter 6
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Test on Wednesday
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Example Solve for x
4 5
10 1
x.12.75
.13.5
.54
A
B
C
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Example Solve for x
8 1
3 6
x .15
.15.33
.45
A
B
C
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Example Find the exact geometric mean for 6 & 22
.11.49
.2 66
.2 33
A
B
C
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Example Find the exact geometric mean for 56 & 22
.18 2
. 66
.6 18
A
B
C
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ExampleAssuming a similar ratio exists, find the measure of FE
A
B C
DE
FG
H
2
3
6
5
x+1
12
2y+2
.6.33
.7
.8
A
B
C
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ExampleAssuming a similar ratio exists, find the measure of EF
A
B
C
D
E
F
10
1416
x+1 x
2x-9
..5
.7
.14
A
B
C
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ExampleGiven ▲ABC~▲DCA, solve for x
A
B
C
D
x
36
9 .9
.18
.324
A
B
C
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ExampleThe object on the left is scaled by a factor of 3.75. What is the
length of the corresponding side to AB of the new figure?
15 11
16
19
.4
.71.25
.76
.90.25
A
B
C
D
A
B
C
D
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ExampleWhat is the perimeter of object 2
15
.18.75
.36
.44
.48
A
B
C
D
1P=55
2 12
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ExampleAre these two triangles similar?
12
8
918
12
13.5
. ,
. ,
. ,
.
AYes SSS
B Yes SAS
C Yes AA
D No
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ExampleAre these two triangles similar?
15
9 13
19
. ,
. ,
. ,
.
AYes SSS
B Yes SAS
C Yes AA
D No
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ExampleAre these two triangles similar?
18
9
7
7
. ,
. ,
. ,
.
AYes SSS
B Yes SAS
C Yes AA
D No
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ExampleAre these two triangles similar?
A
. ,
. ,
. ,
.
AYes SSS
B Yes SAS
C Yes AA
D No
B
C
D E45
22.521
21
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ExampleWhat value of x makes the lines parallel?
18
x+3
8x-1
6
.2
.4
.13.33
A
B
C
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ExampleWhat value of x makes the lines parallel?
27
5
15x
x
. 3
.3
.9
.135
A
B
C
D
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ExampleWhat value of x makes the lines parallel?
..285
.1.33
.3.42
.4.17
A
B
C
D
1219
xx+2
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ExampleWhat value of x makes the lines parallel?
.3
.4.24
.5.5
.6
A
B
C
D
x-54
2x+2
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ExampleWhat is the scale factor between these two objects?
16
3.44
.3
.1.33
.4
A
B
C
D
12 12
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ExampleShadow Problem
3.22
.3
.2
.3
A
B
C
D
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ExampleWhat is the k factor of the dilation?
3.22
.3
.2
.3
A
B
C
D
1
2
Y
X
Y
X
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ExampleWhat is the coordinate of the image of a dilation if the original
coordinate was (-3,5) and the k factor is 3?
.( 9,15)
.( 9,5)
.( 3,15)
.(9, 15)
A
B
C
D
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Homework
Optional Chapter Review 1-21
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ExampleYou want to create a quadrilateral RSTU that is similar to
quadrilateral ABCD. What are the coordinates of U?
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Most Important Points Finding Scale factor of a dilation Using found scale factor to find missing coordinates