| |
| |
1. |
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'(2, 7), B'(-1, 3), C'(4, 1) |
B. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
| |
|
C. |
A'(7, -2), B'(3, 1), C'(1, -4) |
D. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
| |
|
Hint |
|
| |
2. |
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'(-2, -1), B'(-3, -5), C'(-6, -2) |
B. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
| |
|
C. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
D. |
A'(1, -2), B'(5, -3), C'(2, -6) |
| |
|
Hint |
|
| |
3. |
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 |
|
| |
4. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
| |
|
A. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
| |
|
B. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
| |
|
C. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
| |
|
D. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
| |
|
Hint |
|
| |
5. |
Use matrices to determine the coordinates of the image of
with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
| |
|
A. |
A'(3,4), B(5,2) and C'(6,5) |
| |
|
B. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
| |
|
C. |
A'(3,-4), B(5,-2) and C'(6,-5) |
| |
|
D. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
| |
|
Hint |
|
|
|