Translations
Translate the point A(1,2) by 3 units to the left. Give the new coordinates for the image A'.
A'(-2, 2)
Dilate the point A(1, 1) by a scale factor of 3. Give the new coordinates for the image A'.
A'(3, 3)
Point A(1, 1) is rotated 180 degrees Counterclockwise about the origin. What are the new coordinates of the image A'.
A'(-1, -1)
Solve for x:
3x + 10 = 4
x = -2
Solve for x:
3 < -2n + 3n
3 < n
OR
n > 3
Translate A(-1, -4) to the right by 10. Give the new coordinates for the image A'.
A'(9, -4)
Dilate the point A(4, 6) by a scale factor of 1/2. Give the new coordinates for the image A'.
A'(2, 3)
Point A(3, 2) is rotated 90 degrees Counterclockwise about the origin. What are the new coordinates of the image A'.
A'(-2, 3)
Solve for x:
2(x - 2) = 8
x = 6
Solve for x:
2n + 3 > 4n - 7
n < 5
OR
5 > n
Given the line AB with endpoints A(1,1) and B(4,4), translate the line by 3 units to the right and 2 units up. Give the new coordinates for the image of the line with endpoints A'B'.
A'(4,3)
B'(7,6)
Given the line AB with endpoints A(1,1) and B(4,4), dilate the line by a scale factor of 10.
Give the new coordinates for the image of the line with endpoints A'B'.
A'(10, 10)
B'(40, 40)
Point A(3, 2) is rotated 90 degrees Clockwise about the origin. What are the new coordinates of the image A'.
A'(2, -3)
Solve for x:
-3(2x + 6) = 2(-x - 1)
x = -4
!!DOUBLE JEAPORDY!!
-2(n + 3) > 4
n < -5
OR
-5 > n
Given the Triangle ABC with vertices A(0,0), B(0,4), C(4,0), translate the triangle by 5 units to the right and 1 units up. Give the new coordinates for the image of the Triangle with vertices A'B'C'.
A'(5,1)
B'(5,5)
C'(9,1)
!!DOUBLE JEAPORDY!!
Given the Triangle ABC with vertices A(0,0), B(0,4), C(4,0), dilate the triangle by a scale factor of 5.
Give the new coordinates for the image of the Triangle with vertices A'B'C'.
A'(0, 0)
B'(0, 20)
C'(20, 0)
Given the Triangle ABC with vertices A(0,0), B(0,4), C(4,0), rotate the triangle by 270 degrees Counterclockwise about the origin.
Give the new coordinates for the image of the Triangle with vertices A'B'C'.
A'(0,0)
B'(4,0)
C'(0,-4)
Solve for x:
2n + 1 = 2(n + 0.5)
INFINITE Solutions
3(n + 4) < 10(n - 2)
32/7 < n
OR
n > 32/7
!!DOUBLE JEAPORDY!!
The original coordinates of Triangle ABC are given as: A(-1, 0), B(-1, -5), C(-5, 0).
The image A'B'C' after a translation is given by the coordinates: A'(1, 5), B'(1, 0), C'(-3, 5).
State the rule of translation that has taken place.
Translate 2 units to the right and 5 units up.
The original coordinates of Triangle ABC are given as: A(1, 1), B(1, 5), C(5, 1).
The image A'B'C' after a dilation is given by the coordinates: A'(3, 3), B'(3, 15), C'(15, 3).
State the scale factor used to dilate Triangle ABC.
Scale Factor is 3.
The original coordinates of Triangle ABC are given as: A(-1, 0), B(-1, -5), C(-5, 0).
The image A'B'C' after a rotation is given by the coordinates: A'(1, 0), B'(1, 5), C'(5, 0).
State the rule of rotation that has taken place.
Rotation of 180 degrees Counterclockwise about the origin.
!!DOUBLE JEAPORDY!!
Solve for y:
-2x + 5y = 3x + 30
y = x + 6
-2(-x - 3) + 2 > -(x + 4)
x > -4
OR
-4 < x