15 Questions
What is the sum of the interior angles of a quadrilateral?
360 degrees
What is the measure of an exterior angle of a regular hexagon?
60 degrees
What is the name of a polygon with 5 sides?
Pentagon
What is a characteristic of all polygons?
They consist of straight line segments with no curves.
What is a type of quadrilateral with all sides congruent and opposite angles congruent?
Rhombus
What is the sum of the interior angles of a triangle?
180 degrees
What is a common characteristic of polygons?
They are two-dimensional shapes
What is the name of a polygon with 3 sides?
Triangle
What is the formula for the sum of interior angles of a polygon?
180(n-2)
What is a characteristic of a square?
All sides are congruent, and all angles are equal
What is the measure of an exterior angle of a regular octagon?
45 degrees
What is the sum of interior angles of a heptagon?
900 degrees
What is a characteristic of a trapezoid?
Two sides are parallel, and the other two sides are not parallel
What is the sum of interior angles of a hexagon?
720 degrees
What is a characteristic of a rhombus?
All sides are congruent, and opposite angles are congruent
Study Notes
Polygons
- A polygon is a two-dimensional shape with straight sides and angles.
- Examples of polygons:
- Triangle (3-sided)
- Quadrilateral (4-sided)
- Pentagon (5-sided)
- Hexagon (6-sided)
- Heptagon (7-sided)
- Octagon (8-sided)
- Nonagon (9-sided)
- Decagon (10-sided)
Types of Quadrilaterals
- Square: All sides are congruent, and all angles are equal to 90 degrees.
- Rectangle: All angles are equal to 90 degrees, and opposite sides are congruent.
- Trapezoid: Two sides are parallel, and the other two sides are not parallel.
- Rhombus: All sides are congruent, and opposite angles are congruent.
Characteristics of Polygons
- Polygons are two-dimensional shapes.
- Polygons are closed figures with no gaps or openings.
- Polygons consist of straight line segments with no curves.
- Polygons do not have intersecting lines.
Sum of Interior Angles
- The formula for the sum of interior angles is: 180(n-2), where n is the number of sides.
- Examples:
- Triangle (3-sided): 180(3-2) = 180 degrees
- Quadrilateral (4-sided): 180(4-2) = 360 degrees
- Pentagon (5-sided): 180(5-2) = 540 degrees
- Hexagon (6-sided): 180(6-2) = 720 degrees
- Heptagon (7-sided): 180(7-2) = 900 degrees
- Octagon (8-sided): 180(8-2) = 1080 degrees
Exterior Angles
- The measure of an exterior angle of a regular polygon is: 360/n, where n is the number of sides.
- Examples:
- Triangle (3-sided): 360/3 = 120 degrees
- Hexagon (6-sided): 360/6 = 60 degrees
- Octagon (8-sided): 360/8 = 45 degrees
Polygons
- A polygon is a 2D shape with straight sides and angles.
- Examples of polygons include triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, and nonagons.
Types of Quadrilaterals
- A square has congruent sides and 90-degree angles.
- A rectangle has 90-degree angles and congruent opposite sides.
- A trapezoid has two parallel sides and two non-parallel sides.
- A rhombus has congruent sides and congruent opposite angles.
Characteristics of Polygons
- Polygons are 2D shapes.
- Polygons are closed figures with no gaps or openings.
- Polygons consist of straight line segments with no curves.
- Polygons do not have intersecting lines.
Sum of Interior Angles
- The formula for the sum of interior angles is 180(n-2), where n is the number of sides.
- The sum of interior angles of a triangle is 180 degrees.
- The sum of interior angles of a quadrilateral is 360 degrees.
- The sum of interior angles of a pentagon is 540 degrees.
- The sum of interior angles of a hexagon is 720 degrees.
- The sum of interior angles of a heptagon is 900 degrees.
- The sum of interior angles of an octagon is 1080 degrees.
Exterior Angles
- The measure of an exterior angle of a regular polygon is 360/n, where n is the number of sides.
- The measure of an exterior angle of a regular triangle is 120 degrees.
- The measure of an exterior angle of a regular hexagon is 60 degrees.
- The measure of an exterior angle of a regular octagon is 45 degrees.
Polygons
- A polygon is a 2D shape with straight sides and angles.
- Examples of polygons include triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, and nonagons.
Types of Quadrilaterals
- A square has congruent sides and 90-degree angles.
- A rectangle has 90-degree angles and congruent opposite sides.
- A trapezoid has two parallel sides and two non-parallel sides.
- A rhombus has congruent sides and congruent opposite angles.
Characteristics of Polygons
- Polygons are 2D shapes.
- Polygons are closed figures with no gaps or openings.
- Polygons consist of straight line segments with no curves.
- Polygons do not have intersecting lines.
Sum of Interior Angles
- The formula for the sum of interior angles is 180(n-2), where n is the number of sides.
- The sum of interior angles of a triangle is 180 degrees.
- The sum of interior angles of a quadrilateral is 360 degrees.
- The sum of interior angles of a pentagon is 540 degrees.
- The sum of interior angles of a hexagon is 720 degrees.
- The sum of interior angles of a heptagon is 900 degrees.
- The sum of interior angles of an octagon is 1080 degrees.
Exterior Angles
- The measure of an exterior angle of a regular polygon is 360/n, where n is the number of sides.
- The measure of an exterior angle of a regular triangle is 120 degrees.
- The measure of an exterior angle of a regular hexagon is 60 degrees.
- The measure of an exterior angle of a regular octagon is 45 degrees.
Test your knowledge of different types of polygons and quadrilaterals, including their definitions and characteristics.
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