Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4...
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![Page 1: Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4 6 10 8 The ratio of corresponding sides of a figure.](https://reader036.fdocuments.in/reader036/viewer/2022082818/56649ebd5503460f94bc6c3b/html5/thumbnails/1.jpg)
Process
What is the ratio of the corresponding sides of the blue triangle to the red triangle?
3 5
4
610
8
The ratio of corresponding sides of a figure is called the scale factor.
In this problem the scale factor is 2. This is an enlargement because the scale factor is greater than 1.
From
To
__
![Page 2: Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4 6 10 8 The ratio of corresponding sides of a figure.](https://reader036.fdocuments.in/reader036/viewer/2022082818/56649ebd5503460f94bc6c3b/html5/thumbnails/2.jpg)
Process
What is the ratio of the corresponding sides of the red triangle to the blue triangle?
35
4
6
10
8
The ratio of corresponding sides of a figure is called the scale factor.
In this problem the scale factor is 1/2. This is a reduction because the scale factor is less than 1..
From
To
__
To
![Page 3: Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4 6 10 8 The ratio of corresponding sides of a figure.](https://reader036.fdocuments.in/reader036/viewer/2022082818/56649ebd5503460f94bc6c3b/html5/thumbnails/3.jpg)
(x,y) (x’,y’)
(0,0) (3,0)
(0,3) (3,3)
(0,0)
(6,0)
(6,6)(0,6)
The above rectangle was dilated by a What are the coordinates of vertices of the new rectangle? (0,0), (6,0), (0,6) and (6,6)
scale factor of 2.
(2x,2y)(2*0, 2*0)
(2*3, 2*0)
(2*3, 2*3)(2*0, 2*3)
![Page 4: Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4 6 10 8 The ratio of corresponding sides of a figure.](https://reader036.fdocuments.in/reader036/viewer/2022082818/56649ebd5503460f94bc6c3b/html5/thumbnails/4.jpg)
Triangle ABC was dilated to produce triangle A’B’C’. What scale factor was used to produce this dilation?
From Tox x’
RateScale Factor
( 2,0) (8,0)
2 8
82 = 4
![Page 5: Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4 6 10 8 The ratio of corresponding sides of a figure.](https://reader036.fdocuments.in/reader036/viewer/2022082818/56649ebd5503460f94bc6c3b/html5/thumbnails/5.jpg)
In the previous problem, We used the x –value of the ordered pairs on the x-axis. Predict what would happen if we used the y –value of the ordered pairs on the y-axis.
From Toy y’
RateScale Factor
2 8
(0,2)
(0,8)
The scale factor is the same.
![Page 6: Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4 6 10 8 The ratio of corresponding sides of a figure.](https://reader036.fdocuments.in/reader036/viewer/2022082818/56649ebd5503460f94bc6c3b/html5/thumbnails/6.jpg)
Regular pentagon ABCDE is similar to regularpentagon MNOPQ. The scale factor is 2.5. Whatis the length of the sides of pentagon MNOPQ.
Missing Sides and Angles
2
A
B
CD
E
?
M
N
OP
Q
![Page 7: Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4 6 10 8 The ratio of corresponding sides of a figure.](https://reader036.fdocuments.in/reader036/viewer/2022082818/56649ebd5503460f94bc6c3b/html5/thumbnails/7.jpg)
Scaling Up or Down
Determine the scale factor used to go from figure A to figure B.
AB
A
B
A B3. Scale factor ________
2. Scale factor ________
1. Scale factor ________
1.5
62
3 1
4
![Page 8: Process What is the ratio of the corresponding sides of the blue triangle to the red triangle? 35 4 6 10 8 The ratio of corresponding sides of a figure.](https://reader036.fdocuments.in/reader036/viewer/2022082818/56649ebd5503460f94bc6c3b/html5/thumbnails/8.jpg)
Scaling Up or DownGuided Practice
Determine the scale factor used to go from figure A to figure B.
AB
A
B
A B3. Scale factor ________
2. Scale factor ________
1. Scale factor ________
1.5
62
3 1
6