Show:
Vectors & Translations
Rotations
Reflections
Dilations
Matrix Operations
100

This is a quantity that has both magnitude and direction.

What is a vector.

100
When we are rotating by positive degrees, do we move clockwise or counter clockwise?
Counter-clockwise
100
True or False: Reflections preserve size and orientation.
False - orientation is not preserved under a reflection.
100
True or False: A dilation is not an isometry.
True - A dilation is not an isometry because it does not preserve the size of the shape.
100

Number of rows then number of columns.

How do you identify the dimensions of a matrix?

200
Translate L(-3, -2) A(0, -1) D(3, -2) 1 unit right and 3 units up.
L'(-2, 1) A'(1, 2) D'(4, 1)
200
True or False: Rotating a figure 90 degrees is NOT the same as rotating a figure -270 degrees.
False - rotating a figure 90 degrees IS the same as rotating a figure -270 degrees.
200
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
200
What is the new image of G(8, 10) if it undergoes a dilation by a factor of 25?
G'(200, 250)
200

This is the sum of the two matrices .

What is

[[2+x,4z],[-9,2h-k]]

?

300

What is the vector that translates A(-3, -4), B(-1, -5) to A'(3, -4), B'(5, -4)?

<6,0>

300
What is the new image of Z(-4, 0) if you rotate it 270 degrees?
Z'(0, 4)
300
What are the points of the new image D(-1, -4) E(2, -4) F (2, 5) after a reflection through the origin?
D'(1, 4) E'(-2, 4) F'(-2, -5)
300
What is the dilation factor if A(-2, 3) mapped to A'(-0.9, 1.35)?
D 0.45
300

When performing this operation, the number of columns of the first matrix must match the number of rows of the second.

What is matrix multiplication?

400

What is the coordinate point of the pre-image A given that A' is (8, -7) after the vector <-2,3> was applied?

A(10, -10)

400
How many degrees was the figure rotated if the new image of X(-4, 2) Y(-4, 0) Z(0, 3) is X'(4, -2) Y'(4, 0) Z'(0, -3)?
Rotation of 180 degrees
400
What is the line of reflection if L(1, 4) M(1, 0) N (3,0) mapped to L'(5, 4) M'(5, 0) N'(3, 0)?
reflection over the line x = 3
400
D 1/8 of A(-4, -6.2) B(1/2, 1/3) C(-5, -7)? Leave in simplest fraction form!
A(-1/2, -31/40) B'(1/16, 1/24) C'(-5/8, -7/8)
400

This Matrix will rotate a figure matrix by 270o.

What is 

[[0,1],[-1,0]]

500

What is the new image of A(2, 4) B(3, -6) C( -6, -6) after applying the vector <4.5,-2.3>?

A'(6.5, 1.7) B'(7.5, -8.3) C'(-1.5, +8.3)

500
What is the pre-image of M'(-2, 2) N'(-1, -2) O'(-3, -3) after a rotating of -180 degrees?
M(2, -2) N(1, 2) O(3, 3)
500
What is the pre-image of A'(4, 0) B'(5, 1) and C'(4, -4) if it underwent r y =x?
A(0, 4) B(1, 5) C(-4, 4)
500
What is the original image of D'(-8, -12) E'(-8, 12) F'(12, -8) if it underwent a dilation by 2?
D(-4, -6) E(-4, 6) F(6, -4)
500

This is the product of the two matrices

[[-5,2],[1,-6],[0,4]]*[[-8],[-3]]

.

What is 

[[34],[10],[-12]]