A triangle has all three sides equal and all three angles equal to $60^\circ$. Which statement best describes this triangle?

It is both equilateral and equiangular, making it a regular polygon

It is neither equilateral nor equiangular

A rhombus has all four sides equal in length, but its angles are $60^\circ$, $120^\circ$, $60^\circ$, and $120^\circ$. Why is a rhombus NOT always a regular polygon?

Because not all of its angles are equal in measure

Because not all of its sides are equal in length

Because it has no parallel sides

Polygons Practice — Grade 6 math

Lesson 60: Polygons — Practice Questions

1. Which of the following shapes is NOT a regular polygon, even though all of its angles are equal?
- A. Equilateral triangle
- B. Square
- C. Rectangle
- D. Regular hexagon
2. A triangle has all three sides equal and all three angles equal to $60^\circ$. Which statement best describes this triangle?
- A. It is equiangular only
- B. It is equilateral only
- C. It is both equilateral and equiangular, making it a regular polygon
- D. It is neither equilateral nor equiangular
3. The sum of the interior angles of a regular hexagon is $720^\circ$. The measure of each interior angle of a regular hexagon is ___ $^\circ$.
4. A regular pentagon has a total interior angle sum of $540^\circ$. The measure of each interior angle of a regular pentagon is ___ $^\circ$.
5. A rhombus has all four sides equal in length, but its angles are $60^\circ$, $120^\circ$, $60^\circ$, and $120^\circ$. Why is a rhombus NOT always a regular polygon?
- A. Because it has four sides
- B. Because not all of its angles are equal in measure
- C. Because not all of its sides are equal in length
- D. Because it has no parallel sides
6. Which of the following descriptions best fits the definition of a polygon?
- A. A closed shape with both straight and curved sides.
- B. An open shape made of only straight lines.
- C. A flat, closed shape made of only straight lines.
- D. Any shape that is flat, like a drawing on paper.
7. A student correctly identifies that a shape resembling a crescent moon is not a polygon. What is the primary reason why?
- A. The shape is not closed.
- B. The shape has curved sides.
- C. The shape is too simple.
- D. The shape is not a real-world object.
8. A shape formed by four straight line segments that do not all connect is called an open shape. Therefore, it ___ a polygon.
9. Which of these is NOT a required property for a shape to be classified as a polygon?
- A. It must be a closed shape.
- B. It must have all sides of equal length.
- C. It must be a two-dimensional (flat) shape.
- D. It must be made of straight sides.
10. A perfect circle is a closed, flat shape. However, because it is made of a continuous curve, it ___ a polygon.