A polygon has vertices at $A(-5, 2)$, $B(1, 2)$, $C(1, -3)$, and $D(-5, -3)$. Which statement best describes the polygon?

It is a square because all sides are equal.

It is not a square because adjacent sides have different lengths.

It is a square because its vertices are in different quadrants.

It is not a polygon because the points do not connect.

Represent Polygons on the Coordinate Plane Practice — Grade 6 math

Lesson 6: Represent Polygons on the Coordinate Plane — Practice Questions

1. A rectangular garden has vertices at coordinates $(-2.5, 5)$, $(4.5, 5)$, $(4.5, -1)$, and $(-2.5, -1)$. If each unit represents one meter, what is the perimeter of the garden in meters? ___
2. A polygon has vertices at $A(-5, 2)$, $B(1, 2)$, $C(1, -3)$, and $D(-5, -3)$. Which statement best describes the polygon?
- A. It is a square because all sides are equal.
- B. It is not a square because adjacent sides have different lengths.
- C. It is a square because its vertices are in different quadrants.
- D. It is not a polygon because the points do not connect.
3. Three vertices of a rectangle are located at $(-6, -2)$, $(3, -2)$, and $(3, 5)$. What are the coordinates of the fourth vertex?
- A. (-6, 5)
- B. (6, -5)
- C. (-6, -5)
- D. (3, -6)
4. A playground is shaped like a polygon with vertices at $(-4, 7)$, $(5, 7)$, $(5, 1)$, $(1, 1)$, $(1, -3)$, and $(-4, -3)$. Find the perimeter of the playground. ___
5. A rectangular plot of land has corners at coordinates $(-8, 3)$, $(2, 3)$, $(2, -5)$, and $(-8, -5)$. If each unit represents one yard, what is the area of the plot in square yards? ___
6. A rectangular garden plot has vertices at $P(-6, 2)$, $Q(5, 2)$, $R(5, -3)$, and $S(-6, -3)$. If each unit represents one foot, what is the perimeter of the plot in feet? ___
7. A polygon has vertices at $A(-2.5, 1.5)$, $B(4.5, 1.5)$, $C(4.5, -5.5)$, and $D(-2.5, -5.5)$. Is this polygon a square? Explain.
- A. Yes, because the lengths of adjacent sides are equal.
- B. No, because the lengths of adjacent sides are not equal.
- C. No, because the opposite sides are not parallel.
- D. Yes, because the lengths of opposite sides are equal.
8. A school playground is shaped like a polygon with vertices $A(-4, 5)$, $B(3, 5)$, $C(3, 1)$, $D(8, 1)$, $E(8, -2)$, and $F(-4, -2)$. What is the perimeter of the playground in units? ___
9. A rectangular park has three corners at coordinates $J(-7, -2)$, $K(4, -2)$, and $L(4, 5)$. What are the coordinates of the fourth corner, $M$?
- A. (-7, 5)
- B. (4, -7)
- C. (-2, 5)
- D. (-7, -2)
10. A rectangular mural is painted on a wall. Its vertices are at $W(-2.5, 6)$, $X(3.5, 6)$, $Y(3.5, -1.5)$, and $Z(-2.5, -1.5)$. If each unit is one meter, what is the area of the mural in square meters? ___