Grade 8 Math Test Questions on the Coordinate Plane and Plotting

📚 Quick Study Guide

• 📍 Coordinate Plane: A plane formed by two perpendicular number lines (x-axis and y-axis).
• 📈 Ordered Pair: A pair of numbers $(x, y)$ representing a point's location. $x$ is the abscissa (horizontal distance from the y-axis), and $y$ is the ordinate (vertical distance from the x-axis).
• ➕ Quadrants: The coordinate plane is divided into four quadrants:
  • I: $(+, +)$
  • II: $(-, +)$
  • III: $(-,-)$
  • IV: $(+,-)$
• 🧭 Plotting Points: To plot a point $(x, y)$, move $x$ units along the x-axis and $y$ units along the y-axis.
• 📏 Distance Formula: The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
• 📐 Midpoint Formula: The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is: $M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

✍️ Practice Quiz

1. Which quadrant does the point $(-3, 2)$ lie in?
   1. Quadrant I
   2. Quadrant II
   3. Quadrant III
   4. Quadrant IV
2. What are the coordinates of the origin?
   1. $(1, 1)$
   2. $(0, 1)$
   3. $(1, 0)$
   4. $(0, 0)$
3. What is the abscissa of the point $(5, -2)$?
   1. 5
   2. -2
   3. 0
   4. 7
4. What is the ordinate of the point $(-1, 4)$?
   1. -1
   2. 4
   3. 0
   4. 3
5. Which point lies on the x-axis?
   1. $(0, 3)$
   2. $(2, 0)$
   3. $(1, 1)$
   4. $(0, 0)$
6. Which point lies on the y-axis?
   1. $(5, 0)$
   2. $(0, -2)$
   3. $(3, 1)$
   4. $(1, 1)$
7. What is the midpoint of the line segment with endpoints $(2, 4)$ and $(6, 8)$?
   1. $(4, 6)$
   2. $(8, 12)$
   3. $(2, 2)$
   4. $(3, 4)$