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Rotate the following point 180 degrees counterclockwise (5,-2) What is the new coordinate point?
(-5, 2)
Rotate the following point 90 degrees counterclockwise: (1,5) What is the new coordinate point?
(-5, 1)
The rule for rotating a shape or point counterclockwise 270 degrees is
(x,y) ---> (y, -x)
True or false: After a rotation, the image has the same size and shape as the preimage.
True
In a 180 degree rotation, (x , y) becomes ------->
(-x, -y)
In a 90 degree counter clockwise rotation, (x , y) becomes ------->
(-y, x)
Which type of transformation maintains orientation? reflection, translation or rotation
translation
Describe the movement of a figure using the transformation shown by the algebraic rule (x , y) → (x + 10 , y + 5)
The figure would slide 10 units to the right and 5 units up
Figure L is the result of a transformation on Figure K. Which transformation rule would accomplish this?
(x,y) -->(-x, y)
Write the rule for the following transformation: Translation right 5 down 2
(x,y) --> (x+5, y-2)
To perform a translation of up 2, left 5, which rule would I use?
(x-5, y+2)
What transformation occurs if this rule is applied to a figure: (x,y) -> ( -x, y)
Reflection over the y-axis
State the rule for this transformation.
(x, y) -->(x, -y)
Reflect the pre-image (3,5) over the y-axis. The image is located at...
(-3, 5)
Reflect the pre-image (3,5) over the x-axis. The image is located at...
(3, -5)
The original figure prior to a transformation is called the...
pre-image.
If you rotate an image 90 degrees clockwise and then rotate 90 degrees counter-clockwise, what happens to the image?
The image goes back to its original position.
State the line of reflection.
The x-axis
After a figure has been transformed, we call the new figure the...
image
How many degrees counterclockwise was the figure rotated?
270 degrees counterclockwise
Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1). Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of Tʹ?
(-3, -1)
An entire pre-image that is located in quadrant III is then rotated 90° clockwise about the origin. In which quadrant will the image be?
Quadrant II
Reflect Point C over the y-axis. What is the coordinate point of C'?
(-3,2)
Which rule would result in a translation of 2 units left and 3 units up?
(x-2, y+3)
Apply the following rule to the point (-5,6): (x,y)-->(y,-x)
(6,5)
Point (7,2) is translated horizontally left 5 units and up 2 units. Where is the new point located?
(2,4)
Point (-5,2) is reflected over the y axis. Where is the new point located?
(5,2)
Identify the rule for the transformation.
(x-5, y+1)
Identify the type of transformation from ABCD to A'B'C'D'.
Translation
Identify the rule for the transformation from ABC to A'B'C'.
(x, -y)
Write a rule for the translation.
(x+2, y-1)
When you translate a figure by the rule (x, y+6), the figure will slide _____.
6 units up
When you translate a figure (x-4, y), the figure will slide _____.
4 units to the left
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