Dilations
What transformation changes the size of a figure but keeps its shape the same?
A Dilation
A side length changes from 4 to 12. What is the scale factor?
3
What transformation slides a figure without turning or flipping it?
translation
Point B (4, 8) is translated 4 units right and then 2 units up. What are the coordinates of B'?
B' = (8, 10)
IF a transformation changes (x,y) to (-x, y), what transformation is it?
Reflection over the y-axis.
A figure is dilated by a scale factor of 3. What happens to every distance from the center of dilation?
The distance is multiplied by 3.
A side length of 10 becomes 5 after a dilation. What is the scale factor?
1/2
what transformation flips a figure over a line?
reflection
Point (2,3) is translated 5 units right and then reflected over the x-axis. What is the final point?
(7,-3)
What happens to the coordinates when you reflect a point over the x-axis?
x-coordinates stays the same and the y-coordinates changes sign.
Point A (2,4) is dilated by a factor of 2 about the origin. What are the coordinates of A prime?
(4,8)
IF the scale factor is greater than 1, does the image get larger or smaller?
larger
what transformation turns a figure around a fixed point?
rotation
Point (-2,4) is reflected over the y-axis and then translated 3 units up. What is the final point?
(2,7)
a point (4, -2) is rotated 180 degrees about the origin. What are the image coordinates?
(-4,2)
Point B (-3,5) is dilated by a factor of 1/2 about the origin. Find B Prime
(-1.5, 2.5)
If the scale factor is between 0 and 1, does the image get larger or smaller?
smaller
Point (3,-2) is reflected over the x-axis. What are the new coordinates?
(3,2)
Apply these transformations to the point (-2, 5) in order: 1.Dilate by 2 about the origin. 2. Reflect over the y-axis. 3. Translate 3 units right. What are the coordinates of the points final location?
(-2, 5) --> (7, 10)
Triangle JKL is a right triangle, and the measure of angle J is 28 degrees. What are the measures of the other two angles?
90 degrees and 62 degrees
A triangle has vertices (2,1), (4,1), (2,3). It is dilated about the origin by a scale factor of -2. Give the coordinates of all three image points.
(-4,-2), (-8,-2), (-4,-6)
20/8 or 5/2
Point (2,5) is reflected over the y-axis, and then translated 3 units right. What are the final coordinates?
(1,5)
A point (2, -3) is dilated by 4, reflected over the y-axis, then translated right 3 and up 5. What are the coordinates for each transformation?
Dilate (8, -12)
Reflect (-8, 12)
Translate (-5, -7)
Artur says that dilating a figure by a scale factor of 3/2  will produce an image that is smaller than the pre-image. Is Artur's claim correct? Explain your thinking.
No, Artur's claim is incorrect.
3/2 = 1.5 which is greater than 1.