transformations on the coordinate plane: translations and rotations
TRANSCRIPT
Transformations on the Coordinate
Plane: Translations and Rotations
TranSLation of a geometric figure is a SLide of the figure in which all points move the same distance in the same
direction.
Horizontal- left and right
Vertical- up and down
5
4
3
2
1 -5 -4 -3 -2 -1
-11 2 3 4 5
-2
-3
-4
-5
Translate the figure horizontally – 5
A
B
C
B
AC
5
4
3 2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
Translate the figure 4 units vertically.
AB
C D
B A
C D
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
Translate the figure 6 units vertically.
BC
A
BC
A
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
Translate the figure 4 units horizontally.
AB
D C
A B
D C
A ROTATION of a geometric figure is the turn of the figure
around a fixed point.
Clockwise
Counter-clockwise
90
180
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
Rotate the figure
clockwise 90 around the
origin.
A
BCB
CA
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
AB
CD
D
CB
A
Rotate the figure 90 counter-clockwise around the origin.
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
A
B C
A
BC
Rotate the figure 180 counter-
clockwise around the origin.
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
Rotate the figure 180 clockwise around
the origin.
A B
CD
C
B
D
A