Students find a missing rectangle corner, calculate the total path distance for a right triangle, and track a point through three moves. Part B has five fill-in-the-blank problems about square side lengths, new positions after moves, and rectangle perimeters from corner coordinates.
Reasoning about missing vertices and multi-move paths requires students to apply coordinate rules flexibly — the highest-level coordinate plane skill at Grade 5.
Style:
Coordinate Plane
Part A: Multiple Choice
Circle the best answer for each question.
1. A rectangle has three corners at (1, 2), (1, 7), and (6, 7). Where is the fourth corner?
A) (6, 2)
B) (7, 6)
C) (2, 6)
D) (6, 1)
2. Points A(2,3), B(2,6), and C(5,6) form a right triangle. What is the total distance from A to B to C?
A) 6 units
B) 8 units
C) 5 units
D) 9 units
3. A point starts at (1, 1), moves 3 units right, then 4 units up, then 2 units right. What are the final coordinates?
A) (5, 6)
B) (6, 5)
C) (3, 4)
D) (4, 7)
4. Which pair of points is exactly 7 units apart?
A) (1, 2) and (1, 9)
B) (0, 3) and (6, 3)
C) (2, 2) and (2, 8)
D) (3, 0) and (3, 5)
Part B: Fill in the Blank
Write the correct answer on each line.
1. A square has corners at (2, 3) and (2, 8). The side length is 5 units.
2. A point at (4, 1) moves 3 units right and 5 units up. Its new position is (7, 6).
3. The perimeter of a rectangle with corners at (0, 0), (5, 0), (5, 3), and (0, 3) is 16 units.
4. Two points are 6 units apart horizontally. One is at (1, 4). The other is at (7, 4).
5. A triangle has vertices at (0, 0), (8, 0), and (4, 6). The length of the base is 8 units.
Coordinate Plane
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A rectangle has three corners at (1, 2), (1, 7), and (6, 7). Where is the fourth corner?
A) (6, 2)
B) (7, 6)
C) (2, 6)
D) (6, 1)
2. Points A(2,3), B(2,6), and C(5,6) form a right triangle. What is the total distance from A to B to C?
A) 6 units
B) 8 units
C) 5 units
D) 9 units
3. A point starts at (1, 1), moves 3 units right, then 4 units up, then 2 units right. What are the final coordinates?
A) (5, 6)
B) (6, 5)
C) (3, 4)
D) (4, 7)
4. Which pair of points is exactly 7 units apart?
A) (1, 2) and (1, 9)
B) (0, 3) and (6, 3)
C) (2, 2) and (2, 8)
D) (3, 0) and (3, 5)
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A square has corners at (2, 3) and (2, 8). The side length is 5 units.
2) A point at (4, 1) moves 3 units right and 5 units up. Its new position is (7, 6).
3) The perimeter of a rectangle with corners at (0, 0), (5, 0), (5, 3), and (0, 3) is 16 units.
4) Two points are 6 units apart horizontally. One is at (1, 4). The other is at (7, 4).
5) A triangle has vertices at (0, 0), (8, 0), and (4, 6). The length of the base is 8 units.
Ready to Practice?
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9 Questions
12-18 minutes
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