Question

question 1
which of the following is not a polygon?
select one:
a. square
b. pentagon
c. triangle
d. circle

question 2
which of the following is a characteristic of a regular polygon?
select one:
a. it has at least one pair of unequal sides.
b. it always has an odd number of sides.
c. all sides and angles are equal.
d. at least one angle is greater than 180°.

Explanation:

Identify non-polygon shape

A polygon is a closed two-dimensional shape formed by straight line segments.

• Square: 4 straight segments
• Pentagon: 5 straight segments
• Triangle: 3 straight segments
• Circle: curved boundary, no straight segments

Identify regular polygon characteristics

A regular polygon is defined by having all sides congruent (equal length) and all interior angles congruent (equal measure).

• Option a: incorrect (sides must be equal)
• Option b: incorrect (can have even number of sides, e.g., square)
• Option c: correct (all sides and angles are equal)
• Option d: incorrect (regular polygons are convex, so all interior angles are less than \(180^\circ\))

Answer:

Question 1

• a. Square
• b. Pentagon
• c. Triangle
• d. Circle (Correct answer)

Question 2

• a. It has at least one pair of unequal sides.
• b. It always has an odd number of sides.
• c. All sides and angles are equal. (Correct answer)
• d. At least one angle is greater than 180°.