When reflecting an image it is like the image is looking in a ________.
Mirror
What is the keyword associated with rotations?
Turn
What is the keyword with translations?
Slide, move, shift
What is the rule for rotating an image 180 degrees?
(x , y) -->(-x , -y) change the sign of both numbers
Reflect the point (3, 5) across the y axis
(-3 , 5)
What is the point (4,1) rotated 180 degrees
(-4, -1)
Translate the point (2,3) up 4 and to the right 2
(6, 5)
What is the rule for reflecting a point over the y axis?
(x , y) -->(-x , y) change the sign of the x value
Reflect the triangle ABC across the x axis. List the new points.
A (2, -1), B (2, 3) C (-3, 1)
A' (2, 1), B' (2, -3), C' (-3, -1)
What rotation occurred?
Rotation 90 degrees clockwise.
Mr. Morris says the rule to translate point A (-3, 4) to point A' (1, -2) is (X,Y) --> (X -4, Y +6). Is he correct? If not, write the correct rule.
He is incorrect. (X, Y) --> (X +4, Y -6)
What is the rule for reflecting a point over the x axis?
(x , y) -->(x, -y) change the sign of the y value
Reflect the quadrilateral ABCD across the y-axis. List the new points
A (-4, 6), B (-5, 3), C (-1, 3), D (-2, 6)
A'(4, 6) B' (5, 3), C' (1, 3), D' (2, 6)
Rotate the triangle ABC 90 degrees counterclockwise. List the new points.
A (-3, 5), B (4, -1) C (0, -3)
A' (-5,-3), B' (1, 4) C' (3, 0)
Explain the translation modeled by the vector.
A translation right 7 units, up 6 units.
What is the rule for rotating an image 90 degrees clockwise?
(x , y) -->(y, -x) Swap the numbers, flip the sign of the second number
Reflect the Triangle ABC across the line x = 2. Write the new points.
A (7 , 4), B (3, 4), C (5, 1)
A' (-3 , 4) , B' ( 1 , 4) C' (-1, 1)
Rotate the quadrilateral ABCD 90 degrees clockwise. List the new points
A (3, -4), B (6, -2), C (6, 3), D (3, 1)
A' (-4, -3), B' (-2, -6), C' (3, -6), D' (1, -3)
Describe the translation shown by the picture from shape X to shape Y.
A translation right 8 units, down 5 units
What is the rule when rotating an image 90 degrees counterclockwise?
(x , y) -->(-y, x) Swap the numbers, flip the sign of the first