1.
Write a matrix that will translate a triangular prism using the vector
.
A.
B.
C.
D.
Hint
2.
If a rectangular prism represented by the vertex matrix below is translated using the vector
, find the vertex matrix for the translated image.
A.
B.
C.
D.
Hint
3.
Given the coordinates of a rectangular prism, represent them as a vertex matrix:
A
(1, 5, 3),
B
(1, 5, -1),
C
(1, -3, -1),
D
(1, -3, 3),
E
(-4, 5, 3),
F
(-4, 5, -1),
G
(-4, -3, -1),
H
(-4, -3, 3)
A.
B.
C.
D.
Hint
4.
Which of the following matrices represents a dilation by a scale factor of 2?
A.
B.
C.
D.
Hint
5.
Given what you know about matrix multiplication, make a conjecture about what kind of transformation in 3-dimensional space is represented by the matrix
.
A.
The transformation is a dilation by a scale factor of -1.
B.
The transformation is a reflection over the
yz
-plane, followed by a transformation over the
xy
-plane.
C.
The transformation is a translation 1 unit along the
y
-axis.
D.
The transformation is a reflection over the
xz
-plane.
Hint