Coordinate Plane — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. On a zoo map grid, the lions are at (2, 4) and the gift shop is at (7, 4). How far apart are they?
A) 4 units
B) 7 units
C) 5 units
D) 3 units
Same y-coordinate (y=4), so horizontal distance = |7 − 2| = 5 units.
2. A game character at (3, 2) collects a coin at (3, 6) then walks to a door at (7, 6). What total distance does the character travel?
A) 10 units
B) 7 units
C) 8 units
D) 6 units
(3,2)→(3,6): same x, distance = |6−2| = 4 units. (3,6)→(7,6): same y, distance = |7−3| = 4 units. Total = 4 + 4 = 8 units.
3. A treasure map shows clues at (1, 1), (1, 4), (5, 4), and (5, 1). What shape do these clues form?
A) triangle
B) square
C) rectangle
D) pentagon
Width = |5 − 1| = 4 units. Height = |4 − 1| = 3 units. Four right angles but unequal dimensions → rectangle (not square).
4. The school is at (2, 5) and the library is at (2, 1). A park is exactly halfway between them. Where is the park?
A) (2, 2)
B) (2, 4)
C) (2, 3)
D) (1, 3)
Same x=2. Midpoint y = (5 + 1) ÷ 2 = 3. The park is at (2, 3).
Part B: Fill in the Blank
Write the correct answer on each line.
1. On a camp map, the lake is at (1, 3) and the cabin is at (6, 3). The distance between them is 5 units.
Same y=3. Horizontal distance = |6 − 1| = 5 units.
2. A robot goes from (0, 0) to (4, 0), then to (4, 5). The total distance it travels is 9 units.
(0,0)→(4,0): 4 units. (4,0)→(4,5): 5 units. Total = 4 + 5 = 9 units.
3. A flower bed has corners at (2, 1), (8, 1), (8, 4), and (2, 4). Its area is 18 square units.
Width = |8 − 2| = 6 units. Height = |4 − 1| = 3 units. Area = 6 × 3 = 18 square units.
4. A race course goes (0,0)→(5,0)→(5,5)→(0,5)→(0,0). The total distance is 20 units.
Each side: 5+5+5+5=20 units. This is a square with side 5, so perimeter = 4 × 5 = 20 units.
5. A bus goes from stop A at (1, 2) to stop B at (1, 7), then to stop C at (4, 7). The total route is 8 units.
A→B: same x, distance = |7−2| = 5 units. B→C: same y, distance = |4−1| = 3 units. Total = 5 + 3 = 8 units.