Coordinate Plane — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. An ant walks from (0, 0) to (6, 0) to (6, 4). How many units does it walk in total?
A) 8 units
B) 10 units
C) 12 units
D) 6 units
The ant walks 6 units right from (0,0) to (6,0), then 4 units up from (6,0) to (6,4), for a total of 6 + 4 = 10 units.
2. A rectangle has corners at (1, 3), (1, 8), and (5, 8). What is the area of the rectangle?
A) 15 square units
B) 18 square units
C) 20 square units
D) 25 square units
The length is 5 - 1 = 4 units and the height is 8 - 3 = 5 units, so the area is 4 × 5 = 20 square units.
3. Point P is at (2, 7). It moves 3 units right, then 4 units down, then 1 unit left. Where does it end up?
A) (4, 3)
B) (6, 3)
C) (5, 4)
D) (3, 4)
Track each move from (2, 7): x goes 2 + 3 = 5, y goes 7 - 4 = 3, then x goes 5 - 1 = 4. The final position is (4, 3).
4. Points A(1, 2), B(1, 6), and C(8, 6) form a right triangle. What is the total distance from A to B to C?
A) 10 units
B) 11 units
C) 12 units
D) 9 units
From A to B the distance is 6 - 2 = 4 units (vertical), and from B to C the distance is 8 - 1 = 7 units (horizontal), so 4 + 7 = 11 units total.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A path goes (0, 0) → (3, 0) → (3, 5) → (0, 5) → (0, 0). The total distance is 16 units.
Add each segment: 3 right + 5 up + 3 left + 5 down = 16 units around the rectangle.
2. Three corners of a rectangle are (2, 3), (2, 9), and (6, 9). The fourth corner is (6, 3).
The missing corner shares x = 6 with (6, 9) and y = 3 with (2, 3), so it must be (6, 3) to complete the rectangle.
3. A point at (8, 6) moves 5 left, then 4 down, then 1 right. It ends at (4, 2).
Track each move: x goes 8 - 5 = 3, y goes 6 - 4 = 2, then x goes 3 + 1 = 4. The final position is (4, 2).
4. The midpoint between (1, 3) and (7, 3) is (4, 3).
Both points share y = 3, so find the midpoint of the x-values: (1 + 7) ÷ 2 = 4.
5. A square has a perimeter of 24 units and one corner at (1, 2). If a side runs along the bottom, the opposite corner is at (7, 8).
Each side of the square is 24 ÷ 4 = 6 units. From corner (1, 2), move 6 right and 6 up to reach the opposite corner at (7, 8).