1. Transformations:
Translations
Reflections
Rotations
Dilations

2. Dilation
If you use this presentation in a classroom, have students read the avatars’ captions. They enjoy it and are more engaged.

3. Vocabulary
Dilation– Transformation where object size is changed. Scale Factor – A number used as a multiplier to increase or decrease the dimensions of something. Center of Dilation – A fixed point from which all points are expanded or contracted (0,0) B i C A B’ C’ A’
Vocabulary!
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Have students draw the illustration if time permits.

4. A 𝟎, 𝟐 1 2 3 4 5 6 7 8
A 0, 0
C 𝟑, 𝟎
0•2=0
2•2=4
B 0, 2
3•2=6
0•2=0
A’ 𝟎, 𝟒
D 3, 0
C’ 𝟔, 𝟎 A’ D’ C’ B’ ’ B’
B 𝟑, 𝟐
C 3, 2
D 𝟎, 𝟎
3•2=6
2•2=4 A A D C B B
0•2=0
B’ 𝟔, 𝟒 D’ D C C’
D’ 𝟎, 𝟎
Okay multiply the original coordinate points by two.
Lets dilate this rectangle by a scale factor of 2.

5. A’ B’ 9
A 𝟏, 𝟑 1 2 3 4 5 6 7 8
A 0, 0
C 𝟑, 𝟏
1•3=3
3•3=9
B 0, 2
3•3=9
1•3=3
A’ 𝟑, 𝟗
D 3, 0
C’ 𝟗, 𝟑 D’ C’ B’ ’
B 𝟑, 𝟑 A B D’ C’
C 3, 2
D 𝟏, 𝟏
3•3=9 A D C B
1•3=3 D C
B’ 𝟗, 𝟗
D’ 𝟑, 𝟑
Okay multiply the original coordinate points by 3.
Lets dilate this rectangle by a scale factor of 3.

6. A 𝟏, 𝟐 B’ 1 2 3 4 5 6 7 8
A 0, 0
C 𝟒, 𝟐
1•2=2
2•2=4
B 0, 2
4•2=8
2•2=4
A’ 𝟐, 𝟒
D 3, 0
C’ 𝟖, 𝟒 D’ C’ B’ ’ B A’ C’
B 𝟏, 𝟒
C 3, 2
1•2=2
4 •2=8 A C A D C B
B’ 𝟒, 𝟖
Okay multiply the original coordinate points by two.
Lets dilate this triangle by a scale factor of 2.

7. A 𝟐, 𝟐 1 2 3 4 5 6 7 8
A 0, 0
C 𝟔, 𝟐
2/2=1
B 0, 2 B
6/2=3
2/2=1
A’ 𝟏, 𝟏
D 3, 0
C’ 𝟑, 𝟏 D’ C’ B’ ’
B 𝟐, 𝟔 B’
C 3, 2
2/2=1
6/2=3 A C A D C B A’ C’
B’ 𝟏, 𝟑
Okay multiply the original coordinate points by 1/2 (or divide by 2)
Lets dilate this triangle by a scale factor of 1/2.

8. 1 2 4 5 6 7 9 10 3 8 B C
A 𝟗, 𝟑
C 𝟏𝟓, 𝟗
A 0, 0
9/3=3
3/3=1
15/3=5
9/3=3
B 0, 2
A’ 𝟑, 𝟏
C’ 𝟓, 𝟑
D 3, 0 D’ C’ B’ ’ B’ C’ A D
D 𝟏𝟓, 𝟑
B 𝟏𝟐, 𝟗
C 3, 2
15/3=5
3/3=1
12/3=4
9/3=3 D’ A’ A D C B
D’ 𝟓, 𝟏
B’ 𝟒, 𝟑
Okay multiply the original coordinate points by 1/3 (or divide by 3)
Lets dilate this quadrilateral by a scale factor of 1/3.