Transformations
Rectangle ABCD moves 2 units down and 4 units to the left to form Rectangle PQRS.
What is a translation?
Triangle ABC is dilated my a scale factor of 2 to form Triangle DEF. To find the coordinates of D, you use the scale factor and this math operation.
What is multiplication?
The angles are the same in both images, but the side lengths are 3x as long.
What is an enlargement?
Two images are the same shape, but image #2 is 1/2 the size of image #1.
What is a reduction?
You do this to find an image's perimeter.
What is add up all the side lengths?
An image with a perimeter of 10 units now has a perimeter of 20 units.
What is an enlargement?
The scale factor of a reduction is always between these two numbers.
What are 0 and 1?
Images that are enlarged or reduced are called ___________.
What is similar?
If you move a preimage to the right, the center of dilation will move ________________.
What is (to the) right?
If two images are congruent, they are also __________, but two _________ images are not always congruent.
What is similar?
A vertex at (-3,4) is transformed to (-3,-4).
What is a reflection over the x-axis?
In a dilation with a scale factor of 5, the perimeter of an image would change from 6cm to ______.
What is 30cm?
When used as the center of dilation, this point allows you to multiply each coordinate of the preimage's vertices by the scale factor to find the coordinates of each vertex of the new image.
What is the origin or (0,0)?
You can do this from the center of dilation through an image's vertices to help you dilate the image.
What is draw rays?
You are given triangle TUV and triangle LMN. Angle <V corresponds to <___ and side TU corresponds to side ___.
What is <N and side LM?
An image's area transforms from 32 square inches to 2 square inches.
What is a reduction?
When given 2 images, you can find the scale factor by comparing these.
What are corresponding side lengths or coordinates?
When performing a reduction, it is important that parallel lines in the preimage are __________ in the dilated image in order for them to have the same shape but not the same size.
What is parallel?
You are given the side lengths of image ABCD and A'B'C'D' after a transformation. To determine if the transformation was a dilation, you must determine if the new side lengths are __________.
What is proportional or multiplied by the same (scale) factor?
This is the ratio of the side lengths of an image to the preimage.
What is scale factor?
Triangle XYZ has vertices at (2,5), (6,4), and (3,7) which transform to (5,-2), (4,-6), and (7,-3).
What is a rotation of 90 degrees clockwise or 270 degrees counterclockwise?
In a dilation with a scale factor of 1/5, the area of an image would change from 50in to ___.
What is 2in?
An image is reduced by a scale factor of 1/5. If the image's perimeter was 50in, its new perimeter is ____.
What is 10in?
An image is dilated by a scale factor of 4. If its area was 24cm, the new area will be _____.
What is 384cm?
The point of intersection of lines through each pair of corresponding vertices in a dilation is called the _________________.
What is the center of dilation?