Coordinate Plane — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. The distance between (1, 3) and (1, 7) is 4 units.
Points with the same x-coordinate are on a vertical line. Distance = |7 − 3| = 4 units.
2. The distance between (2, 5) and (6, 5) is 4 units.
Points with the same y-coordinate are on a horizontal line. Distance = |6 − 2| = 4 units.
3. A rectangle has corners at (1, 2), (1, 6), (5, 6), and (5, 2). Its length is 4 units.
The vertical side goes from y=2 to y=6. Length = |6 − 2| = 4 units.
4. Using the same rectangle, its width is 4 units.
The horizontal side goes from x=1 to x=5. Width = |5 − 1| = 4 units. This rectangle is actually a square.
5. The perimeter of that rectangle is 16 units.
Perimeter = 2 × (length + width) = 2 × (4 + 4) = 2 × 8 = 16 units.
6. The midpoint between (2, 0) and (8, 0) on the x-axis is (5, 0).
The midpoint on the x-axis is the average of the x-values: (2 + 8) ÷ 2 = 5. So the midpoint is (5, 0).
7. A square has one corner at (1, 1) and an opposite corner at (4, 4). The side length is 3 units.
The side length equals the difference in x-coordinates (or y-coordinates). |4 − 1| = 3 units.
8. Point R is at (3, 2) and Point S is at (3, 8). They are 6 units apart.
Same x-coordinate, so vertical distance = |8 − 2| = 6 units.
9. A segment goes from (0, 5) to (7, 5). Its length is 7 units.
Same y-coordinate, so horizontal distance = |7 − 0| = 7 units.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Distance from (2, 1) to (2, 6)
→ 5 units
3 units
Distance from (0, 3) to (8, 3)
→ 8 units
6 units
Distance from (4, 0) to (4, 3)
→ 3 units
5 units
Distance from (1, 7) to (7, 7)
→ 6 units
8 units
(2,1)→(2,6): |6−1|=5; (0,3)→(8,3): |8−0|=8; (4,0)→(4,3): |3−0|=3; (1,7)→(7,7): |7−1|=6.