Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
A coordinate grid system is
overlayed on a hole at a golf course. Jim starts with the golf ball at the coordinates (0, -
4).
Which sequence of transformations would sink the ball in the hole
located at the point (-2, 4)? | | | |
a. | First, rotate the golf ball 90° counter clockwise about the
origin.
Then, translate the golf ball along the vector  .
| b. | First, reflect the golf ball over the line  .
Then, translate the golf ball along the vector  .
| c. | First,
translate the golf ball along the vector  .
First, reflect the
golf ball over the line y-axis.
| d. | First, reflect the golf ball over the
line x-axis.
Then, translate the golf ball along the vector  . |
|
|
|
2.
|
Consider the point C located at the coordinates (x, y). The point C’
coordinates are located at  . Finally, the point C” coordinates
are located at  .
Describe the transformations that map
point C onto the point C”.
a. | First, translate the point C to the right 1 and down 3. Then, dilate that point
by a scale factor of  to the origin. | b. | First, translate the
point C to the left 1 and up 3. Then, dilate that point by a scale factor of  to
the origin. | c. | First, translate the point C to the right 1 and down 3. Then, dilate that point
by a scale factor of 2 from the origin. | d. | First, translate the point C to the left 1 and
up 3. Then, dilate that point by a scale factor of 2 from the
origin. |
|
|
|
3.
|
| Consider the point A located at the
coordinates (3, 5). First, reflect the point over the x-axis. Then, translate that reflected point up
4 units and label this point A”. What are the coordinates of A”? |  | | |
a. | A”(-3, 9) | c. | A”(1, 5) | b. | A”(7, -5) | d. | A”(3, -1) |
|
|
|
4.
|
 has vertices A(2, 1), B(4, 2), and
C(4, 1). Rotate  90° counterclockwise about the origin and
then reflect it across the x-axis. Which graph below shows this sequence of
transformations?
a. |  | c. |  | b. |  | d. | None of these show the correct sequence of
transformations. |
|
|
|
5.
|
| Which two types of transformations
must have been used to map the pentagon JKLMN onto the pentagon
J”K”L”M”N”? | | | |
a. | Translation and Rotation | c. | Rotation and
Dilation | b. | Reflection and Dilation | d. | Dilation and Translation |
|
|
|
6.
|
First, quadrilateral ABCD is first reflected
over line m. Then, the image is reflected over line l
to create the quadrilateral
A”B”C”D”. Lines l and
m intersect at a 45º at point E.
What is another type of transformation
that would map quadrilateral ABCD onto quadrilateral A”B”C”D”?
a. | Rotate quadrilateral ABCD 90º about point E
where lines l and m intersect | b. | Reflect quadrilateral ABCD over a line that is half way between lines l and m. | c. | Translate quadrilateral ABCD left 3 units and up 1 unit. | d. | Dilate quadrilateral ABCD by a scale factor of 45 from point
E. |
|