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

Test PreparationTest PreparationDayDay

Chapter 6Chapter 6

Test on FridayTest on Friday

ExampleExample Solve for xSolve for x

4 5

10 1x

.12.75

.13.5

.54

A

B

C

ExampleExample Solve for xSolve for x

6

1

3

8 x .15

.15.33

.45

A

B

C

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

ExampleExampleGiven ▲ABC~▲DCA, solve for x

A

B

C

D

x

36

9 .9

.18

.324

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

ExampleExampleWhat is the perimeter of object 2

15

.18.75

.36

.44

.48

A

B

C

D

1P=55

2 12

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 value of x makes the lines parallel?

18

x+3

8x-1

6

.2

.4

.13.33

A

B

C

ExampleExampleWhat value of x makes the lines parallel?

27

5

15x

x

. 3

.3

.9

.135

A

B

C

D

ExampleExampleWhat value of x makes the lines parallel?

..285

.1.33

.3.42

.4.17

A

B

C

D

1219

xx+2

ExampleExampleWhat value of x makes the lines parallel?

.3

.4.24

.5.5

.6

A

B

C

D

x-54

2x+2

ExampleExampleWhat is the scale factor between these two objects?

16

3.44

.3

.1.33

.4

A

B

C

D

12 12

ExampleExampleShadow Problem

3.22

.3

.2

.3

A

B

C

D

ExampleExampleWhat is the k factor of the dilation?

3.22

.3

.2

.3

A

B

C

D

1

2

Y

X

Y

X

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

HomeworkHomework

Chapter ReviewChapter Review 1-211-21

ExampleExampleYou want to create a quadrilateral RSTU that is similar to

quadrilateral ABCD. What are the coordinates of U?

Most Important PointsMost Important Points Finding Scale factor of a dilationFinding Scale factor of a dilation Using found scale factor to find missing coordinatesUsing found scale factor to find missing coordinates