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Polygons on the Coordinate Plane — Easy Worksheet 1
Grade 6 · MathSheets Name: ____________________ Date: __________
Use the coordinates to answer each question.
How to solve
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Example
Rectangle ABCD has vertices A(-2, 1), B(5, 1), C(5, 3), D(-2, 3). What is the length of side AB in units?
Answer: 7
Not quite. The answer is
💡 D(−4, 5) and A(−4, −2) have the same x-coordinate, so DA = 5 − (−2) = 7. Side DA is 7 units long.
✓ Correct!
Not quite. The answer is
💡 D(−4, 5) and A(−4, −2) have the same x-coordinate, so DA = 5 − (−2) = 7. Side DA is 7 units long.
💡 How to solve: Polygons on the Coordinate Plane
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Try a similar one
Rectangle ABCD has vertices A(-2, 2), B(3, 2), C(3, 4), D(-2, 4). What is the length of side BC in units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A(−1, −5) and B(4, −5) have the same y-coordinate, so AB = 4 − (−1) = 5. B(4, −5) and C(4, 3) have the same x-coordinate, so BC = 3 − (−5) = 8. Area = length × width = 5 × 8 = 40 square units.
✓ Correct!
Not quite. The answer is
💡 A(−1, −5) and B(4, −5) have the same y-coordinate, so AB = 4 − (−1) = 5. B(4, −5) and C(4, 3) have the same x-coordinate, so BC = 3 − (−5) = 8. Area = length × width = 5 × 8 = 40 square units.
💡 How to solve: Polygons on the Coordinate Plane
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Try a similar one
Rectangle ABCD has vertices A(2, -3), B(5, -3), C(5, 2), D(2, 2). What is the length of side DA in units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A(−3, −3) and B(−1, −3) have the same y-coordinate, so AB = −1 − (−3) = 2. B(−1, −3) and C(−1, 2) have the same x-coordinate, so BC = 2 − (−3) = 5. Opposite sides are equal, so the perimeter is 2 × (2 + 5) = 14 units.
✓ Correct!
Not quite. The answer is
💡 A(−3, −3) and B(−1, −3) have the same y-coordinate, so AB = −1 − (−3) = 2. B(−1, −3) and C(−1, 2) have the same x-coordinate, so BC = 2 − (−3) = 5. Opposite sides are equal, so the perimeter is 2 × (2 + 5) = 14 units.
💡 How to solve: Polygons on the Coordinate Plane
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Try a similar one
Rectangle ABCD has vertices A(2, -1), B(5, -1), C(5, 3), D(2, 3). What is the length of side CD in units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The sides of this rectangle are horizontal and vertical. B is straight below C(4, 1), so it has the same x-coordinate, 4. B is straight to the right of A(−5, −3), so it has the same y-coordinate, −3. So B is (4, −3).
✓ Correct!
Not quite. The answer is
💡 The sides of this rectangle are horizontal and vertical. B is straight below C(4, 1), so it has the same x-coordinate, 4. B is straight to the right of A(−5, −3), so it has the same y-coordinate, −3. So B is (4, −3).
💡 How to solve: Polygons on the Coordinate Plane
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Try a similar one
Rectangle ABCD has vertices A(0, -1), B(2, -1), C(2, 3), D(0, 3). What is the length of side DA in units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 PQ is horizontal and PR is vertical, so the triangle has a right angle at P. P(−5, −4) and Q(1, −4) have the same y-coordinate, so PQ = 1 − (−5) = 6. P(−5, −4) and R(−5, 4) have the same x-coordinate, so PR = 4 − (−4) = 8. Area = 12 × base × height = 12 × 6 × 8 = 24 square units.
✓ Correct!
Not quite. The answer is
💡 PQ is horizontal and PR is vertical, so the triangle has a right angle at P. P(−5, −4) and Q(1, −4) have the same y-coordinate, so PQ = 1 − (−5) = 6. P(−5, −4) and R(−5, 4) have the same x-coordinate, so PR = 4 − (−4) = 8. Area = 12 × base × height = 12 × 6 × 8 = 24 square units.
💡 How to solve: Polygons on the Coordinate Plane
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Try a similar one
Rectangle ABCD has vertices A(-3, 1), B(-1, 1), C(-1, 5), D(-3, 5). What is the length of side AB in units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A(1, −1) and B(5, −1) have the same y-coordinate, so AB = 5 − 1 = 4. B(5, −1) and C(5, 5) have the same x-coordinate, so BC = 5 − (−1) = 6. Area = length × width = 4 × 6 = 24 square units.
✓ Correct!
Not quite. The answer is
💡 A(1, −1) and B(5, −1) have the same y-coordinate, so AB = 5 − 1 = 4. B(5, −1) and C(5, 5) have the same x-coordinate, so BC = 5 − (−1) = 6. Area = length × width = 4 × 6 = 24 square units.
💡 How to solve: Polygons on the Coordinate Plane
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Try a similar one
Rectangle ABCD has vertices A(-1, 2), B(5, 2), C(5, 4), D(-1, 4). What is the length of side CD in units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 A(−2, 1) and B(5, 1) have the same y-coordinate, so AB = 5 − (−2) = 7. B(5, 1) and C(5, 5) have the same x-coordinate, so BC = 5 − 1 = 4. Opposite sides are equal, so the perimeter is 2 × (7 + 4) = 22 units.
✓ Correct!
Not quite. The answer is
💡 A(−2, 1) and B(5, 1) have the same y-coordinate, so AB = 5 − (−2) = 7. B(5, 1) and C(5, 5) have the same x-coordinate, so BC = 5 − 1 = 4. Opposite sides are equal, so the perimeter is 2 × (7 + 4) = 22 units.
💡 How to solve: Polygons on the Coordinate Plane
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Try a similar one
Rectangle ABCD has vertices A(2, -3), B(4, -3), C(4, 4), D(2, 4). What is the length of side DA in units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 D(3, 0) and A(3, −5) have the same x-coordinate, so DA = 0 − (−5) = 5. Side DA is 5 units long.
✓ Correct!
Not quite. The answer is
💡 D(3, 0) and A(3, −5) have the same x-coordinate, so DA = 0 − (−5) = 5. Side DA is 5 units long.
💡 How to solve: Polygons on the Coordinate Plane
A horizontal side has the same y-coordinate at both ends, so its length is the difference of the x-coordinates; a vertical side uses the y-coordinates. Once you know the side lengths, use perimeter = sum of the sides and area = length × width (or 12 × base × height for a triangle).
Try a similar one
Rectangle ABCD has vertices A(-1, -3), B(1, -3), C(1, 5), D(-1, 5). What is the length of side AB in units?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Polygons on the Coordinate Plane — Easy Worksheet 1
Use the coordinates to answer each question.