Dilations

1
Dilations

• Stretches

2
When a shape is dilated, it is stretched by a
certain factor.
Scale factorof 2
Double the length double the width
3
When a shape is dilated, it is stretched by a
certain factor.
Scale factorof 3
Triple the length triple the width
4
When a shape is dilated, it is stretched by a
certain factor.
Scale factorof 4
Quadruple the length quadruple the width
5
Practice Time
6
Dilate each shape according to the given scale
factor. Then find the perimeter and area of the
dilated shape.
7
1) Scale Factor 2
8
1) Scale Factor 2
Perimeter 2222 8Area 2 x 2 4
2
2
9
1) Scale Factor 2
Perimeter 4444 16Area 4 x 4 16
Perimeter 2222 8Area 2 x 2 4
4
2
4
2
10
2) Scale Factor 2
11
2) Scale Factor 2
Perimeter 2323 10Area 2 x 3 6
3
2
12
2) Scale Factor 2
Perimeter 2323 10Area 2 x 3 6
Perimeter 4646 20Area 4 x 6 24
6
3
4
2
13
3) Scale Factor 2
14
3) Scale Factor 2
Perimeter 3333 12Area 3 x 3 9
3
3
15
3) Scale Factor 2
Perimeter 3333 12Area 3 x 3 9
Perimeter 6666 24Area 6 x 6 36
6
3
6
3
16
4) Scale Factor 2
17
4) Scale Factor 2
Perimeter 332211 12Area 7
1
1
2
3
2
3
18
4) Scale Factor 2
Perimeter 332211 12Area 7
Perimeter 664422 24Area 28
2
2
4
1
6
1
2
4
3
2
3
6
19
5) Scale Factor 2
20
5) Scale Factor 2
Perimeter 43111121 14Area 7
1
2
4
1
1
1
1
3
21
5) Scale Factor 2
Perimeter 86222242 28Area 28
2
Perimeter 43111121 14Area 7
4
1
2
8
2
2
2
4
1
1
1
2
1
3
6
22
You do not need to find the perimeter on these
shapes.
6) Scale Factor 2
Area 1
23
You do not need to find the perimeter on these
shapes.
6) Scale Factor 2
2
1
Area 1
24
You do not need to find the perimeter on these
shapes.
6) Scale Factor 2
4
2
1
2
Area 1
Area 4
25
7) When you dilate a shape by a scale factor of
2, the length and width of the shape are doubled.
How does the area of the dilated shape compare
with the area of the original shape?
26
7) When you dilate a shape by a scale factor of
2, the length and width of the shape are doubled.
How does the area of the dilated shape compare
with the area of the original shape?
The dilated shape has an area that is 4 times
greater than the area of the original shape.
Area 1
Area 4
Area 4
Area 16
27
This property is true for all shapes.
Area 2
Area 8
Area 1
Area 4
28
You do not need to find the perimeter on these
shapes.
8) Scale Factor 2
Area 4
29
You do not need to find the perimeter on these
shapes.
8) Scale Factor 2
4
2
Area 4
30
You do not need to find the perimeter on these
shapes.
8) Scale Factor 2
8
4
2
4
Area 16
Area 4
31
You do not need to find the perimeter on these
shapes.
9) Scale Factor 3
NOTE New Scale Factor
Area 4
32
You do not need to find the perimeter on these
shapes.
9) Scale Factor 3
NOTE New Scale Factor
2
2
Area 4
33
You do not need to find the perimeter on these
shapes.
9) Scale Factor 3
NOTE New Scale Factor
6
2
2
6
Area 36
Area 4
34
You do not need to find the perimeter on these
shapes.
10) Scale Factor 4
NOTE New Scale Factor
Area 4
35
You do not need to find the perimeter on these
shapes.
10) Scale Factor 4
NOTE New Scale Factor
2
2
Area 4
36
You do not need to find the perimeter on these
shapes.
10) Scale Factor 4
NOTE New Scale Factor
8
2
2
8
Area 64
Area 4
37
The End!
The End!
The End!