Name_________________________
Name______________________ Review Questions 1 ( 12 . Questions 13 (
Geometry - Transformations
What can we say is the general rule for a Rotation of (x, y)?
|O R I G I N A L |R O T A T I O N O F |N E W I M A G E |
|(x , y) |90 degrees | |
|(x , y) |180 degrees | |
|(x, y) |270 degrees | |
|(x , y) |360 degrees | |
In your own words, what is the rule for a reflection over the y-axis?
3. In your own words, what is the rule for a reflection over the x-axis?
In your own words, what is the rule for a reflection over the line y = x?
In your own words, what is the rule for a reflection over the line y = -x?
In your own words, what happens when you Translate something?
7. In your own words, what happens when you Dilate something?
8. The coordinates of the vertices of Triangle ABC are A(-1,3), B(2,6), and C(4,2). State the coordinates of the vertices of Triangle A”B”C” that result from the transformation [pic]
9. In the diagram below, [pic] and [pic] are graphed.
[pic]
Use the properties of rigid motions to explain why [pic].
10. Dilate the line [pic] by [pic] with center (0, 6)
[pic]
B(1, 4) [pic] with center at (2, 6)
[pic]
Write the equation of image of a line with equation [pic] that is rotated 90 degrees about the origin.
[pic]
13. The line with equation [pic] is translated . Write an equation of a line that represents the image of the line after the translation.
[pic]
14.
[pic]
Describe each of the following transformations.
15. 16.
17.
[pic]
18.
[pic]
19.
[pic]
20.
[pic]
21.
[pic]
22. you must algebraically show work for this to get full credit
[pic]
23.
[pic]
24.
[pic]
25.
[pic]
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