Lesson 11: Graphing Transformations — Practice Questions

1. 1. A point at $(5, -3)$ is translated by $(-8, 9)$. What is the x-coordinate of the translated point? ___

2. 2. A triangle has a vertex M at $(2, -9)$. If the triangle is translated by $(-5, 4)$, what are the new coordinates of M'?

   • A. (-3, -5)
   • B. (7, -13)
   • C. (-3, -13)
   • D. (7, -5)

3. 3. A point $A(4, 2)$ is translated to a new position $A'(-1, 6)$. What translation was applied?

   • A. (-5, 4)
   • B. (5, -4)
   • C. (3, 8)
   • D. (-5, 8)

4. 4. Point C at $(1, 1)$ is translated 6 units to the left and 3 units up. The y-coordinate of the new point C' is ___.

5. 5. Which of the following best describes the effect of a geometric translation on a figure?

   • A. It slides the figure without changing its size or orientation.
   • B. It flips the figure over a line.
   • C. It turns the figure around a central point.
   • D. It enlarges or shrinks the figure.

6. 6. Point $M$ is located at $(8, 2)$. If this point is reflected across the y-axis to create point $M'$, the coordinates of $M'$ are ___.

7. 7. A triangle has a vertex at point $C(-4, -9)$. If the triangle is reflected across the x-axis, what are the coordinates of the new vertex, $C'$?

   • A. (4, -9)
   • B. (-4, 9)
   • C. (4, 9)
   • D. (-4, -9)

8. 8. When a point $(x, y)$ is reflected across the y-axis, which statement correctly describes the coordinates of its image?

   • A. The x-coordinate changes sign, and the y-coordinate stays the same.
   • B. The y-coordinate changes sign, and the x-coordinate stays the same.
   • C. Both coordinates change signs.
   • D. Neither coordinate changes.

9. 9. Point $A$ is at $(7, -1)$. After a reflection across the x-axis, the coordinates of the image $A'$ are ___.

10. 10. A point $B'$ has coordinates $(-6, 11)$ after being reflected across the y-axis. What were the original coordinates of point $B$?

    • A. (6, 11)
    • B. (-6, -11)
    • C. (6, -11)
    • D. (-6, 11)