Vocabulary
Translations
Reflections
Rotations
Dilations
Transformation Rules
100
What is a pre-image?
The original image (the one you start with!)
100
What is up 7 and left 12 in proper translation rule notation?
Example: (x +/- __, y +/- __)
(x - 12, y + 7)
100
If your pre-image figure is in quadrant III and you reflect it across the y axis, what quadrant would your image be in?
Quadrant IV
100
A rotation results in a similar figure. True or False?
False, a reflection results in a congruent figure (same side lengths AND angle measurements)
100
Find the scale factor.
k = 2
100
Given the translation rule (x - 5, y + 4), how do we move our coordinates?
All coordinates move left 5 and up 4
200
How can you tell the difference between which figure is the pre-image and which is the image?
The image (new figure) is labeled with "primes"
ex. A'
200
What is the translation rule (in "proper notation") that maps Triangle PQR to Triangle P'Q'R'?
ex. (x +/- ___, y +/- ___)
(x - 3, y + 4)
(means left 3, up 4)
200
If a figure begins in Quadrant III, is reflected across the x-axis, and then is reflected a second time across the y-axis, which quadrant will it be located in now?
Quadrant I
200
If you pre-image is located in Quadrant II and you rotate it counter-clockwise 90 degrees, what quadrant would your image be located in?
Quadrant III
200
Triangle XYZ consists of vertices X(2, 2), Y(10, -4), and Z(0, 8). Find the coordinates of Triangle X'Y'Z' after a dilation of 2 centered around the origin.
X'(4, 4)
Y'(20, -8)
Z'(0, 16)
200
When reflecting a coordinate across the x-axis, the x-values stay the same and this happens to the y-values...
They become their opposites (the rule does not mean it becomes negative!)
300
In a dilation, this is the value that all coordinates and side lengths of the preimage are multiplied by to get the coordinates and side lengths of the (new) image.
scale factor (we use "k")
300
If point A is at (2,2) and you translate it left 5 units, what would the point at A' be?
(-3,2)
300
If point A is located at (5,6) and it is reflected across the x-axis, what would the coordinate of A' be?
(5,-6)
300
How many degrees counter-clockwise did Triangle BCD rotate?
90 degrees
300
Find the coordinate for Point X (10, -15) after a dilation of 4/5 centered around the origin.
X' (8, -12)
300
If L (-2, 9) is rotated 180 degrees about the origin, where will L' be located?
L' (2, -9)
400
What are the properties of congruent figures?
Same angle measurements AND side lengths
or same size and shape
400
If point J is at (3,-4) and you translate it left 5 units & up 7 units, what would be the coordinate of J'?
(-2,3)
400
If point K is located at (-2,-4) and it is reflected across the y-axis, what is the coordinate of K'?
(2,-4)
400
If you have point G at (-3,2) and you rotate it 180 degrees, what would the point G' be?
(3, -2)
400
What is the scale factor of the dilation shown?
k = 1/4
400
When dilating a figure by a scale factor between 0 and 1, this happens.
A reduction in size (it shrinks/becomes smaller)
500
What are the properties of similar figures AND which one of the 4 transformations results in a similar figure?
Same angle measurements and PROPORTIONAL side lengths (same shape, different size), and only dilations create similar figures
500
If point W is at (-5,0) and first you translate it right 7 units & up 3 units, then you translate it left 2 units & down 3 units, what would the point at W' be?
(0,0) or the origin
500
If Z (2, 2) is reflected across the x-axis, and then again over the y-axis, what is the coordinate of Z" following the double reflection?
Z"(-2, -2)
***It's the same as a rotation 180 degrees about the origin!!
500
The coordinate C (9, -10) is rotated 270 degrees counter-clockwise. What is the coordinate of C'?
C'(-10, -9)
500
If triangle XYZ has vertices X(10, 6), Y(8, -8) and Z(12, -4) and is dilated by a scale factor of 9, what are the coordinates of the vertices of X'Y'Z'?
X'(90, 54)
Y'(72, -72)
Z'(108, -36)
500
When rotating a coordinate 90 degrees clockwise about the origin, we switch the places of the x and y values and change what else?
We change the original x-value (now in the "y" spot) TO IT'S OPPOSITE!! (it does not mean it becomes negative!!!)