Podcast
Questions and Answers
What is a polygon?
What is a polygon?
- A closed figure with straight sides (correct)
- An open figure
- A figure with no sides
- A figure with curved sides
What defines a quadrilateral?
What defines a quadrilateral?
It is a 4-sided polygon.
A parallelogram has only one pair of opposite sides that are parallel.
A parallelogram has only one pair of opposite sides that are parallel.
False (B)
How many pairs of opposite sides are parallel in a trapezoid?
How many pairs of opposite sides are parallel in a trapezoid?
A kite has parallel sides.
A kite has parallel sides.
What is an isosceles trapezoid?
What is an isosceles trapezoid?
What are the characteristics of a rectangle?
What are the characteristics of a rectangle?
What is a rhombus?
What is a rhombus?
A square has diagonals that are perpendicular.
A square has diagonals that are perpendicular.
The sum of the interior angles of a polygon with n sides is given by the formula S = (n - 2) x 180. Here, S stands for the ______ of interior angles.
The sum of the interior angles of a polygon with n sides is given by the formula S = (n - 2) x 180. Here, S stands for the ______ of interior angles.
What is the sum of the exterior angle measures of a convex polygon?
What is the sum of the exterior angle measures of a convex polygon?
How many sides does a pentagon have?
How many sides does a pentagon have?
What is the definition of a hexagon?
What is the definition of a hexagon?
How many sides does a heptagon have?
How many sides does a heptagon have?
What is an octagon?
What is an octagon?
How many sides does a nonagon have?
How many sides does a nonagon have?
What defines a decagon?
What defines a decagon?
A regular polygon has sides of unequal lengths.
A regular polygon has sides of unequal lengths.
An irregular polygon has equal side lengths.
An irregular polygon has equal side lengths.
What is a concave polygon?
What is a concave polygon?
Define a convex polygon.
Define a convex polygon.
Flashcards are hidden until you start studying
Study Notes
Polygon Basics
- A polygon is a closed figure with straight sides.
- Quadrilaterals are polygons that specifically have four sides.
Types of Quadrilaterals
-
Parallelogram
- Has one pair of opposite sides that are both parallel and congruent.
- Features two pairs of parallel sides, congruent opposite sides, congruent opposite angles, supplementary consecutive angles, and diagonals that bisect each other.
-
Trapezoid
- Defined by having exactly one pair of opposite sides that are parallel.
- Consecutive angles between different bases are supplementary.
-
Kite
- Characterized by having no parallel sides.
- Contains two pairs of congruent consecutive sides, perpendicular diagonals, one pair of congruent opposite angles, and a bisecting diagonal that divides it into two congruent triangles.
-
Isosceles Trapezoid
- Has congruent legs and congruent angles at the bases.
- Diagonals are also congruent.
-
Rectangle
- A parallelogram with four right angles leading to four congruent angles.
- Diagonals are congruent.
-
Rhombus
- A quadrilateral with four congruent sides and perpendicular diagonals.
- Diagonals bisect opposite angles.
-
Square
- Combines properties of a rectangle and rhombus: all angles are right, all sides are congruent, and diagonals are both perpendicular and congruent.
Angle Theorems
-
Interior Angles Theorem
- The sum of a polygon’s interior angles is calculated with the formula S = (n-2) x 180, where n is the number of sides.
-
Exterior Angles Theorem
- The sum of exterior angles of a convex polygon equals 360 degrees, with one at each vertex.
Polygons by Sides
- Pentagon: 5 sides
- Hexagon: 6 sides
- Heptagon: 7 sides
- Octagon: 8 sides
- Nonagon: 9 sides
- Decagon: 10 sides
Polygon Types
- Regular Polygon: All sides are equal in length and all angles are equal.
- Irregular Polygon: Sides are of unequal lengths.
- Concave Polygon: At least one angle points inwards.
- Convex Polygon: All angles point outwards, with no angles pointing inwards.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
