Define Translation
When you slide a figure or point.
Define Reflection.
When you flip or make a mirror image of a figure or point.
Define Rotation
When you turn a figure or point. (can be clockwise or counterclockwise)
Define Dilation.
When you enlarge or shrink a figure or point by multiplying it a scale factor.
What transformation(s) keep the object the same size and shape?
translation, rotation, and reflection
Describe the translation:
Slide the figure or point 5 units to the left and 3 units up.
What is the rule for reflecting over the y-axis
Flip left or right.
What are the three types of rotations we performed in this class
90 degrees clockwise
90 degrees counterclockwise
180 degrees
What is the algebraic rule when dilating a point with the scale factor 4.
times all points by 4
What transformation(s) changes the size of the shape?
Dilation
B' (5,4)
C' (5,7)
D' (7,10)
Reflection over y-axis
What is the rotation seen on this graph?
90 degrees counterclockwise
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.
What transformation has occured?
90 degrees clockwise
Complete the table
Write the coordinates of the vertices after a translation 8 units right and 1 unit up.
B' (-2,2)
C' (4,2)
D' (-6, 7)
What is the rotation seen on this graph?
180 degrees
Describe the dilation
(3,6) ----> (6, 12)
Dilated by scale factor 2
What transformation has occurred?
reflection over the x-axis
(x+6, y+9)
6 units to the right; 9 units up
Flip over the y-axis
B' (-3, -9)
C' (-3, -5)
D' (-4, -3)
E' (-4, -7)
Find the points if the object is rotated 90 degrees clockwise.
A'(3,-1)
B'(1,2)
C'(2,-4)
Point A (10, 15)
Point A' (2, 3)
What is the scale factor?
Dilated by scale factor 1/5
What transformation has occurred?
Dilation with Scale factor of 3.