Vocab
A transformation that slides a shape on the coordinate plane.
Translation
Translate each point 2 units right and 2 units up.
A (1,2)
B (3, 4)
C (1, 5)
D (3, 6)
A' (3, 4)
B' (5, 6)
C' (3, 8)
D' (5, 8)
Reflect the following points across the x-axis.
A (1,2)
B (3, 4)
C (1, 5)
D (3, 6)
A' (1,-2)
B' (3, -4)
C' (1, -5)
D' (3, -6)
Rotate the following points 360 degrees clockwise around the origin.
A (3,-1)
B (4,3)
C (-3,2)
A' (3,-1)
B' (4,3)
C' (-3,2)
Dilate the following points with a scale factor of 2.
A (1,2)
B (2,4)
C (2,6)
A' (2,4)
B' (4,8)
C' (4,12)
A transformation that flips a shape over a line
Reflection
Translate each point 2 units left and 2 units down.
A (1,2)
B (3, 4)
C (1, 5)
D (3, 6)
A' (-1, 0)
B' (1, 2)
C' (-1, 3)
D' (1, 4)
Reflect each point over the y-axis.
A (1,2)
B (3, 4)
C (1, 5)
D (3, 6)
A' (-1, 2)
B' (-3, 4)
C' (-1, 5)
D' (-3, 6)
Rotate the following points 180 degrees clockwise around the origin.
A (3,-1)
B (4,3)
C (-3,2)
A' (-3,1)
B' (-4,-3)
C' (3,-2)
What type of a dilation would happen if the scale factor was 3? Enlargement or reduction?
Enlargement
A transformation that enlarges or reduces a shape.
Dilation
Translate each point 5 units left and 7 units up.
A (1,2)
B (3, 4)
C (1, 5)
D (3, 6)
A' (-4, 9)
B' (-2, 11)
C' (-4, 12)
D' (-2, 13)
Reflect each point over the x-axis.
A (4,5)
B (-3,-4)
C (-2,6)
A' (4,-5)
B' (-3, 4)
C' (-2, -6)
Rotate the following points 90 degrees clockwise around the origin.
A (3,-1)
B (4,3)
C (-3,2)
A' (-1,-3)
B' (3,-4)
C' (2,3)
What type of a dilation would happen if the scale factor was 1/2? Enlargement or reduction?
Reduction
A transformation that turns a shape around a fixed point.
Rotation
Translate each point 7 units left and 4 units up.
A (1,2)
B (3, 4)
C (1, 5)
D (3, 6)
A' (-6, 6)
B' (-4, 8)
C' (-6, 9)
D' (-4, 10)
Reflect each point over the y-axis
A (9,7)
B (-3,4)
C (-6,-2)
A' (-9,7)
B' (3, 4)
C' (6, -2)
Name rotations and directions that would give the same outcome
90 CW and 270 CCW
180 CW and CCW
270 CW and 90 CCW
Dilate the following points with a scale factor of 1/3.
A (3,6)
B (6,12)
C (6,15)
A' (1,2)
B' (2,4)
C' (2,5)
Shapes that have equal angle measures and equal side lengths.
Congruent shapes
Translate each point 8 units right and 10 units down.
A (1,2)
B (3, 4)
C (1, 5)
D (3, 6)
A' (9, -8)
B' (11, -6)
C' (9, -5)
D' (11, -4)
Reflect the following points over both the x-axis and the y-axis.
A (2,3)
B (4,4)
C (7,3)
A' (-2,-3)
B' (-4,-4)
C' (-7,-3)
Rotate the following points 270 degrees clockwise around the origin.
A (3,-1)
B (4,3)
C (-3,2)
A' (1,3)
B' (-3,4)
C' (-2,-3)
Dilate the following points with a scale factor of 2.5.
A (2,2)
B (4,6)
C (4,10)
A' (5,5)
B' (10,15)
C' (10,25)