| |
| |
1. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
| |
|
A. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
B. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
| |
|
C. |
A'(7, -2), B'(3, 1), C'(1, -4) |
D. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
| |
|
Hint |
|
| |
3. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
| |
|
A. |
A'(1, -2), B'(5, -3), C'(2, -6) |
B. |
A'(-2, -1), B'(-3, -5), C'(-6, -2) |
| |
|
C. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
D. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
| |
|
Hint |
|
| |
4. |
Find the image of after Rot90 · Ry-axis if the vertices are A(2, -3), B(6, -3), and C(2, 5). |
| |
|
A. |
A'(3, -2), B'(3, -6), C'(-5, -2) |
B. |
A'(-3, -2), B'(-3, -6), C'(-5, -2) |
| |
|
C. |
A'(3, 2), B'(3, 6), C'(5, -2) |
D. |
A'(-3, 2), B'(-3, 6), C'(5, 2) |
| |
|
Hint |
|
| |
5. |
The image of after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
| |
|
A. |
reflection over the line y = x |
B. |
reflection over the x-axis |
| |
|
C. |
none of these |
D. |
reflection over the y-axis |
| |
|
Hint |
|
|
|