Translation
Reflection
Rotation
Dilation
Composite Transformation
Reflection and Rotation Symmetry
100
Define Translation
When you slide a figure or point.
100
Define Reflection.
When you flip or make a mirror image of a figure or point.
100
Define Rotation
When you turn a figure or point. (can be clockwise or counterclockwise)
100
Define Dilation.
When you enlarge or shrink a figure or point by multiplying it a scale factor.
100
Define Composite Transformation.
When you use more than one transformation on a figure or point.
100
Drawing of the flower (3rd image)
200
Describe the translation:
(x-5, y+3)
Slide the figure or point 5 units to the left and 3 units up.
200
What is the algebraic rule for reflecting over the line y=-x.
(x,y) --> (-y, -x)
200
What is the algebraic rule for rotating a figure 90 degrees counterclockwise?
(x,y) ---> (-y, x)
200
What is the algebraic rule when dilating a point with the scale factor 4.
(x,y)---> 4(x,y) ---> (4x, 4y)
200
B. rotation of 180 about the origin
200
Orange (3rd image)
300
B' (5,4)
C' (5,7)
D' (7,10)
300
Reflection over y-axis
300
What is the algebraic rule for 180 degrees clockwise?
(x,y)----> (-x,-y)
300
Triangle ABC is being dilated by scale factor 1/4. Is the triangle enlarging or shrinking? How do you know?
Shrinking. The scale factor is less than 1, so that is why the triangle is shrinking.
300
What would the algebraic rule be if a figure reflected over the x-axis and rotated 180 degrees?
(x,y) ----> (x,-y) ----> (-x,--y)----> (-x,y)
300
Explain how you know if something has reflection symmetry.
One half of the figure is the reflection of the other half.
400
Complete the table
Write the coordinates of the vertices after a translation 8 units right and 1 unit down.
400
B' (-2,2)
C' (4,2)
D' (-6, 7)
400
Point A (-2,3) is the preimage of A'(-3,-2)
What rotation rule happened to go from Point A to Point A' clockwise?
270 clockwise
400
Describe the dilation
(3,6) ----> (6, 12)
Dilated by scale factor 2
400
D. Reflection across the line y=x
400
Explain how you know a figure has rotation symmetry
The figure looks the same after some rotation.
500
(x+6, y+9)
6 units to the right; 9 units up
500
B' (7, -9)
C' (7, -5)
D' (6, -3)
E' (6, -7)
500
Describe the rotation.
(2,3) ----> (-2, -3)
180 rotation
500
Point A (10, 15)
Point A' (2, 3)
What is the scale factor?
Dilated by scale factor 1/5
500
A point is reflected over the y-axis then over the x-axis. What is a single transformation that can represent this composite transformation?
180 rotation
500
C. 120 degrees ccw rotation