Lesson 4: Represent Rational Numbers on the Coordinate Plane — Practice Questions

1. 1. Which ordered pair represents a point that is 5 units to the left of the origin and 2 units up?

   • A. (-5, 2)
   • B. (5, -2)
   • C. (2, -5)
   • D. (-5, -2)

2. 2. In the ordered pair $(-7, 4)$, the $y$-coordinate is ___.

3. 3. What is the name of the point located at the coordinates $(0, 0)$ in a rectangular coordinate system?

   • A. The origin
   • B. The center
   • C. The axis point
   • D. The zero point

4. 4. To plot the point $(6, -1)$, you start at the origin and move 6 units to the right. The $x$-coordinate is ___.

5. 5. How would you plot the point $(3, -4)$ starting from the origin?

   • A. Move 3 units right, then 4 units down.
   • B. Move 3 units left, then 4 units up.
   • C. Move 4 units down, then 3 units right.
   • D. Move 3 units right, then 4 units up.

6. 6. Point A is located at $(-5, 4)$. If it is reflected across the y-axis to create point A', what is the x-coordinate of A'? The new coordinates are (___, 4).

7. 7. A point is located at $(2, 8)$. If you reflect this point across the x-axis, what are the new coordinates?

   • A. (-2, 8)
   • B. (2, -8)
   • C. (-2, -8)
   • D. (8, 2)

8. 8. When reflecting a point across a vertical line, which statement is true about the counting method?

   • A. You must count vertically from the point to the line.
   • B. You must count horizontally from the point to the line.
   • C. You must count diagonally from the point to the line.
   • D. The distance does not need to be counted.

9. 9. A vertex of a rectangle is at $(7, 3)$. The rectangle is reflected across the vertical line $x = 4$. The new coordinate for this vertex is (___, 3).

10. 10. A triangle has a corner at $(-2, 1)$. If the triangle is reflected across the horizontal line $y = 5$, the new y-coordinate of that corner will be ___.