Post on 05-Jan-2016
description
BellworkBellwork Find the geometric mean of 32 & 5Find the geometric mean of 32 & 5 Find the geometric mean of 75 & 18Find the geometric mean of 75 & 18 What are the new coordinates for a dilation of an object with 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?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. 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 standing nearby and the ball nearly misses his head. Bob is 6 feet tall and the building is 20 feet tall. If Bob is 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 standing 15 feet away from Bill, how far away is Bob from the building?building?
Bellwork SolutionBellwork Solution Find the geometric mean of 32 & 5Find the geometric mean of 32 & 5
32 5
2 16 5 16 2 5
4 10
x
x
x
Bellwork SolutionBellwork Solution Find the geometric mean of 75 & 18Find the geometric mean of 75 & 18
75 18
3 25 2 9 25 9 3 2
3 5 6 15 6
x
x
x
Bellwork SolutionBellwork Solution What are the new coordinates for a dilation of an object with 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?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)
Bellwork SolutionBellwork Solution Bill kicks a ball in a straight line towards the top of the building. 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 standing nearby and the ball nearly misses his head. Bob is 6 feet tall and the building is 20 feet tall. If Bob is 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 standing 15 feet away from Bill, how far away is Bob from the building?building? 6 15
20 156(15 ) 300
90 6 300
6 210
35
xx
x
x
x ft
Building
6
15
20
x
ExampleExample Find the exact geometric mean for 6 & 22Find the exact geometric mean for 6 & 22
.11.49
.2 66
.2 33
A
B
C
ExampleExample Find the exact geometric mean for 56 & 22Find the exact geometric mean for 56 & 22
.18 2
. 66
.6 18
A
B
C
ExampleExampleAssuming 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
ExampleExampleAssuming 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
ExampleExampleThe 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
ExampleExampleAre these two triangles similar?
12
8
918
12
13.5
. ,
. ,
. ,
.
AYes SSS
B Yes SAS
C Yes AA
D No
ExampleExampleAre these two triangles similar?
15
9 13
19
. ,
. ,
. ,
.
AYes SSS
B Yes SAS
C Yes AA
D No
ExampleExampleAre these two triangles similar?
18
9
7
7
. ,
. ,
. ,
.
AYes SSS
B Yes SAS
C Yes AA
D No
ExampleExampleAre these two triangles similar?
A
. ,
. ,
. ,
.
AYes SSS
B Yes SAS
C Yes AA
D No
B
C
D E45
22.521
21
ExampleExampleWhat 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
ExampleExampleYou want to create a quadrilateral RSTU that is similar to
quadrilateral ABCD. What are the coordinates of U?