Translations
How would the following rule move a point or shape?
(x,y)->(x+2, y-3)
2 right and 3 down
Why doesn't the rule for a 180 degree translation have a direction of rotation?
Rotating 180 degrees clockwise or counterclockwise will put you in the same position.
When you reflect across the y-axis, which coordinate value will not change?
The y-value
What is the scale factor of the following dilation rule?
(x, y) ->(3x, 3y)
3
What city does Mr. C live in?
Grand Rapids
Write the rule that would translate a point 4 to the left and 7 up.
(x,y)->(x-4, y+7)
What is the rule for a 90 degree clockwise rotation?
(x,y)->(y, -x)
If a point lies on the line of reflection, what happens when you reflect the point across that line?
Nothing, it doesn't move.
Write the rule for a dilation with scale factor
1/2
(x,y)->(1/2x,1/2 y)
What type of pets does Mr. C have, and how many?
1 dog, 2 cats
Write the rule that would translate a point from the coordinate (-2, 5) to (3, -3).
(x,y)->(x+5, y-8)
If the point (-7, 3) is rotated 270 clockwise, where will it end up?
(-3, -7)
If you reflect the point (3, -2) across the line below, where will it end up?
y=-x
(2, -3)
A square has a side length of 3. If I dilate the square by a scale factor of 4, what is the perimeter of the image?
48
How old is Mr. C?
44
If you translate a point using the following rule, what is the straight-line distance between the preimage and the image?
(x,y)->(x-6, y+8)
10
Name three different degrees of rotation that could be represented by the rule
(x,y)->(-x,-y)
May vary. Most likely, 180, 540, and 900
For the point (3, -2), give a reflection rule and a translation rule that would create the same image.
Answers will vary
A right triangle has legs with lengths of 6 and 4. If I dilate the triangle by a scale factor of 3, what is the area of the image?
108
What restaurant does Mr. C work at?
Rose's
The point (-3, 2) is reflected across the y-axis.
Write a translation rule that would have the same effect as the the reflection above.
(x,y)->(x+6, y)
What rule could you use to represent a 1170 degree counterclockwise rotation?
(x,y)->(-y,x)
You have a point with a negative x-value and a positive y-value. If you reflect that point first across the y-axis, and then across the line y = -x, what must be true of the signs of the final x and y values?
they will both be negative
A triangle has vertices A (2, 6), B (2, 2) and C (5, 2). If I dilate the triangle by a scale factor of 4, what is the perimeter of the image?
48
In college, Mr. C majored in math and what other subject? (it's not psychology)
Philosophy