Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Consider the following coordinate matrix below that describes the pentagon
ABCDE:  Which graph below shows the pentagon
A’B’C’D’E’ which is described by the following matrix
operation? 
|
|
|
2.
|
Consider the coordinate matrix that describes a quadrilateral ABCD:  Which matrix operation below will translate the quadrilateral the
furthest distance away from the original pre-image described by matrix
[ P] (by comparing the measured distance between the image and pre-image of any
quadrilateral vertex)?
|
|
|
3.
|
a. | Figure 1 | c. | Figure 3 | b. | Figure
2 | d. | Figure 4 |
|
|
|
4.
|
Consider the following coordinate matrix below that describes the pentagon
ABCDE:  Which graph shows the correct pentagon
A’B’C’D’E’ that can be described by  ?
|
|
|
5.
|
Consider the coordinate matrix
[Q] that describes the coordinates of the
quadrilateral ABCD such that quadrilateral A’B’C’D’ is a dilation of ABCD about the
origin.
Also the coordinates of a few of the vertices of
each of the shapes are such that:
• A:(1,2)
and D:(4,2)
• A’:(m, n) and D’:(b,n)
Given
that the coordinates of the quadrilateral A’B’C’D’ can be defined by the following:
Which statement must be true about
a? | | | |
a. | a = m
| c. | a =
2n | b. | a = n
| d. | Quadrilateral EFGH cannot be defined by the
suggested matrix operation of a·[Q] |
|
|
|
6.
|
Consider the following coordinate matrix below that describes the pentagon
ABCDE:  Which graph shows the correct pentagon
A’B’C’D’E’ that can be described by the following matrix
operations? 
|
|
|
7.
|
Consider the coordinate matrix
[H] that describes the coordinates of the
hexagon ABCDEF.
Which is the
only matrix operation below that does not map the hexagon ABCDEF back on to itself? | | | |
|
|
|
8.
|
Consider the coordinate matrix
[P] that describes the coordinates of the
pentagon ABCDE.
A
student defined the pentagon A’B’C’D’E’ coordinates by using the
following matrix operations:
What did the student use for matrix
[R]
? | | | |
a. | 
| c. |  | b. |  | d. | None of the suggested matrix operations
correctly define the pentagon
A’B’C’D’E’. |
|
|
|
9.
|
Which matrix below is used to rotate a graphed
figure set up in a coordinate matrix by 180° about the
origin?
|
|
|
10.
|
Consider a coordinate matrix
[M] that describes the coordinates of the
dodecagon shown at the right.
Which of the graphs below best represent the coordinate
matrix operation shown below?
 | | | |
|
|
|
11.
|
Consider the coordinate matrix
[P] that describes the coordinates of the
pentagon ABCDE.
Scott first translated the pentagon
ABCDE by the vector v:
<-4, 1> (i.e. left 4 and up 1) to create the image A’B’C’D’E’. Then, that new image was
reflected over the x-axis to create the final image A”B”C”D”E”.
Which set of matrix operations would correctly show the translation of
<-4, 1> followed by a reflection over the x-axis to create the
coordinate matrix [Q] that would
define A”B”C”D”E”
? | | | |
|