Rectangles on the Coordinate Plane: Sample FAST Questions
Students solve mathematical and real-world problems by plotting points on the coordinate plane, including finding the perimeter and area of a rectangle. They also work backward, determining a missing vertex of a rectangle or a missing dimension when given other information about the figure.
How the FAST tests this benchmark
FAST items include graphic response questions plotting vertices, equation editor items computing perimeter or area from coordinates, and multiple choice items finding a missing vertex.
Skills students need
Find the perimeter and area of rectangles on the coordinate plane
Determine a missing vertex or dimension of a rectangle
Try 4 real MA.6.GR.1.3 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
A rectangle has vertices at (3,2),(3,5),(10,5), and (10,2). What is the area of the rectangle in square units?
Figure: a coordinate plane from x = undefined to undefined and y = undefined to undefined.
Figure may not be to scale
Correct answer: D. 21 square units
This explanation shows one way to solve the problem.
Find the width: x:10−3=7 units
Find the height: y:5−2=3 units
Calculate area: A=7×3=21 square units
Final Answer
21 square units
Question 2MediumEquation Editor
A rectangle has vertices at (−4,−1),(−4,4),(3,4), and (3,−1). What is the area of the rectangle in square units?
Figure: a coordinate plane from x = undefined to undefined and y = undefined to undefined.
Figure may not be to scale
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 35
This explanation shows one way to solve the problem.
Find the width: x:∣−4∣+∣3∣=4+3=7 units (spans the y-axis)
Find the height: y:∣−1∣+∣4∣=1+4=5 units (spans the x-axis)
Calculate area: A=7×5=35 square units
Final Answer
35 square units
Question 3MediumMultiple Choice
Three vertices of a rectangle are (−5,−2),(−5,4), and (0,−2). What are the coordinates of the fourth vertex?
Figure: a coordinate plane from x = undefined to undefined and y = undefined to undefined showing the points (-5, -2), (-5, 4), (0, -2).
Figure may not be to scale
Correct answer: C. (0,4)
This explanation shows one way to solve the problem.
Identify shared coordinates: (−5,−2) and (0,−2) share y=−2.(−5,−2) and (−5,4) share x=−5.
Find the missing corner: Missing corner: x=0 and y=4 → fourth vertex is (0,4)
Final Answer
0, 4
Question 4HardEquation Editor
A patio has corners at (−3,−2),(−3,5),(3,5), and (3,−2) on a coordinate grid where each unit = 1 foot. What is the perimeter of the patio in feet?
Figure: a coordinate plane from x = undefined to undefined and y = undefined to undefined.
Figure may not be to scale
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 26
This explanation shows one way to solve the problem.
Find the width: x:∣−3∣+∣3∣=3+3=6 ft (spans the y-axis)
Find the height: y:∣−2∣+∣5∣=2+5=7 ft (spans the x-axis)
Calculate perimeter: P=2(6+7)=2×13=26 ft
Final Answer
26
Master MA.6.GR.1.3 with personalized practice
These are 4 of the 100+ questions Algebro has for this benchmark alone. Take the diagnostic, get a study plan that targets your gaps, and practice with an AI tutor that explains every step.
