How many sides does a pentagon have? A. Three B. Four C. Five D. Six 3. What is the name of a four-sided polygon? A. Octagon B. Pentagon C. Quadrilateral D. Triangle 4. What is the least number of sides a polygon can have? A. Two B. Three C. Four D. Five 5. How many angles are there in a triangle? A. Three B. Five C. Six D. Ten 6. Can a polygon have curved sides? A. Yes B. No 7. What makes a polygon a regular polygon? A. All sides are of the same length B. All angles are congruent C. All angles are 90 degrees D. All angles and sides are the same 8. Which of the following is NOT a polygon? A. Circle B. Pentagon C. Square D. Triangle 9. Which figure is four-sided, has four right angles and its opposite sides are parallel and congruent? A. Hexagon B. Pentagon C. Rectangle D. Rhombus
The Correct Answer and Explanation is:
Correct Answers:
- C. Five
- C. Quadrilateral
- B. Three
- A. Three
- A. Three
- B. No
- D. All angles and sides are the same
- A. Circle
- C. Rectangle
Explanation:
A pentagon is a polygon with five sides, making option C the correct answer. Polygons are flat, two-dimensional shapes with straight sides. The number of sides helps determine the name of the shape. A three-sided polygon is called a triangle, and a four-sided polygon is called a quadrilateral, which includes squares, rectangles, and trapezoids.
The least number of sides a polygon can have is three, because a shape must have at least three straight sides to enclose a space. Therefore, a triangle is the simplest polygon.
A triangle has three angles, one at each vertex. This matches with answer A for that question.
Polygons cannot have curved sides. The definition of a polygon requires all sides to be straight and the figure to be closed. So, shapes like circles or ovals are not polygons.
A regular polygon is a shape where all sides are equal in length and all interior angles are equal. This is different from shapes like rectangles, which have equal angles but sides of differing lengths. That makes option D the best answer.
A circle is not a polygon because it has no sides or vertices. In contrast, pentagons, squares, and triangles are polygons because they are made up of straight lines.
A rectangle is a quadrilateral with four right angles, and opposite sides that are equal and parallel. This fits the description in the last question, making rectangle the correct answer.
Understanding these basic definitions helps build a strong foundation in geometry.
