Properties of Polygons and Angles

The video tutorial introduces polygons, defining them as simple closed curves made of straight lines. It categorizes polygons into concave, convex, regular, and irregular types, providing examples for each. Concave polygons have at least one angle greater than 180°, while convex polygons have all angles less than 180°. Regular polygons have equal sides and angles, exemplified by equilateral triangles and squares. Irregular polygons, like rectangles, do not have equal sides and angles.

What is a polygon?

• A simple closed curve made up of straight lines

• A simple closed curve made up of curved lines

• A simple open curve made up of straight lines

• A complex closed curve made up of curved lines

Which of the following is an example of a polygon?

• Circle

• Triangle

• Ellipse

• Parabola

What do we call each line segment of a polygon?

• Diagonal

• Vertex

• Angle

• Side

How many sides does a quadrilateral have?

• Three

• Four

• Six

• Five

What is a concave polygon?

• A polygon with no angles more than 180°

• A polygon with all angles less than 180°

• A polygon with at least one angle more than 180°

• A polygon with all sides equal

In a concave polygon, how many angles are more than 180°?

• At least one angle

• No angles

• Exactly two angles

• All angles

What is the main characteristic of a concave polygon?

• No angles are more than 180°

• All sides are equal

• At least one angle is more than 180°

• All angles are less than 180°

Which of the following is a characteristic of a concave polygon?

• At least one angle is more than 180°

• All sides are equal

• All angles are less than 180°

• No angles are more than 180°

Which of the following is NOT a characteristic of a concave polygon?

• At least one angle is more than 180°

• All angles are less than 180°

• It can have sides of different lengths

• It is not symmetrical

What is a convex polygon?

• A polygon with no sides equal

• A polygon with all sides equal

• A polygon with all angles less than 180°

• A polygon with at least one angle more than 180°