Coordinate Plane — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A rectangle has corners at (1, 1), (1, 5), (7, 5), and (7, 1). Its width is 4 units.
The width is the vertical distance between the y-coordinates: 5 - 1 = 4 units.
2. Using the same rectangle, its length is 6 units.
The length is the horizontal distance between the x-coordinates: 7 - 1 = 6 units.
3. The perimeter of that rectangle is 20 units.
Use the perimeter formula: 2 × (length + width) = 2 × (6 + 4) = 2 × 10 = 20 units.
4. The area of that rectangle is 24 square units.
Multiply length times width: 6 × 4 = 24 square units.
5. A square has corners at (2, 2), (2, 7), (7, 7), and (7, 2). Each side is 5 units long.
Subtract either pair of coordinates: 7 - 2 = 5 units. Since it is a square, all four sides are 5 units long.
6. The perimeter of that square is 20 units.
A square's perimeter is 4 times the side length: 4 × 5 = 20 units.
7. The area of that square is 25 square units.
A square's area is side times side: 5 × 5 = 25 square units.
8. A rectangle with corners at (0, 0), (9, 0), (9, 3), and (0, 3) has a perimeter of 24 units.
The length is 9 - 0 = 9 units and the height is 3 - 0 = 3 units, so the perimeter is 2 × (9 + 3) = 24 units.
9. A rectangle with corners at (3, 2), (3, 6), (8, 6), and (8, 2) has an area of 20 square units.
The length is 8 - 3 = 5 units and the height is 6 - 2 = 4 units, so the area is 5 × 4 = 20 square units.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each rectangle to its correct area.
Corners at (0, 0), (4, 0), (4, 3), (0, 3)
→ 12 square units
18 square units
Corners at (1, 1), (6, 1), (6, 4), (1, 4)
→ 15 square units
16 square units
Corners at (2, 0), (2, 6), (5, 6), (5, 0)
→ 18 square units
12 square units
Corners at (0, 2), (8, 2), (8, 4), (0, 4)
→ 16 square units
15 square units
Correct matches: Corners at (0, 0), (4, 0), (4, 3), (0, 3) → 12 square units; Corners at (1, 1), (6, 1), (6, 4), (1, 4) → 15 square units; Corners at (2, 0), (2, 6), (5, 6), (5, 0) → 18 square units; Corners at (0, 2), (8, 2), (8, 4), (0, 4) → 16 square units.