CLASSIFICATION OF POLYGON (CONVEX AND NON-CONVEX)

Which of the following best defines a convex polygon?

• A polygon with all interior angles equal to 90°.

• A polygon with all sides and angles equal.

• A polygon where all interior angles are less than 180° and vertices point outward.

• A polygon with at least one interior angle greater than 180°.

What characteristic differentiates a non-convex (concave) polygon from a convex polygon?

• A non-convex polygon has sides of different lengths.

• A non-convex polygon has all sides and angles equal.

• A non-convex polygon has one or more interior angles greater than 180°.

• A non-convex polygon has more than four sides.

3. Which of the following statements is true?

• All regular polygons are non-convex.

• All irregular polygons are convex.

• All regular polygons are convex.

• All irregular polygons are non-convex.

4. 4. Which of the following polygons is most likely to be non-convex?

• A regular hexagon.

• A regular pentagon.

• An irregular quadrilateral with one interior angle greater than 180°.

• An irregular triangle with all interior angles less than 90°.

5. Why is it important to differentiate between convex and non-convex polygons in geometry?

• It helps in calculating the perimeter of polygons.

• It is necessary for understanding properties related to interior angles and external applications.

• It simplifies the process of drawing polygons.

• It determines the number of sides a polygon has.