Polygons Flashcards
What is a regular polygon?
A polygon that is both equilateral and equiangular
What is a polygon?
A closed figure formed by line segments connected at their endpoints
What is a diagonal?
A segment of a polygon connecting any two non-consecutive vertices.
List the names of polygons in order from 1-12
Triangle Quadrilateral Pentagon Hexagon Septagon Octagon Nonagon Decagon (No 11) Do-Decagon
What is the equation for finding the number of diagonals from ONE vertex?
N-3
What is the equation for finding the number of triangles formed?
N-2
What is the equation for finding the sum of the interior angles?
(N-2) x 180
ADD 180 EACH TIME
What is the equation for finding the measure of one interior angle (if regular)?
180- 360/n
What is the equation for finding the measure of one exterior angle (if regular)?
360/n
What is the sum of all exterior angles in every polygon?
360
What happens if a quadrilateral is a parallelogram?
- opposite sides are congruent
- opposite angles are congruent
- consecutive angles are supplementary
- diagonals bisect each other
What is a parallelogram? What are it’s properties?
A quadrilateral with 2 pairs of opposite sides parallel.
- 2 pairs of opposite sides parallel
- Opposite sides are equal
- opposite angles are equal
- consecutive angles are supplementary
- Diagonals bisect each other
What is a rectangle? What are it’s properties?
A parallelogram with congruent 90* angles
-All parallelogram properties
- Congruent 90* angles
- Diagonals are equal
What is a rhombus? What are it’s properties?
A rhombus is a parallelogram with 4 equal sides
-all parallelogram properties
- 4 equal sides
- diagonals form right angles
- diagonals bisect the angles
What is a square? What are it’s properties?
A square is a rectangle with equal sides
-All properties of parallelogram, rectangle, and rhombus