Honors Math 2: Polygons and Quadrilaterals Review

These flashcards cover the key definitions, formulas, and concepts related to polygons, including sums of interior and exterior angles, properties of specific shapes like trapezoids and kites, and basic algebraic techniques used in solving related problems.

Heptagon

A polygon with 7 sides, whose interior angles sum to 900°.

25-gon

A polygon with 25 sides, whose interior angles sum to 14140°.

Nonagon

A regular polygon with 9 sides, where each interior angle measures 140°.

Exterior Angle

An angle formed outside a polygon when one side is extended, with the sum of all exterior angles always equal to 360°.

Regular Polygon

A polygon with all sides and angles equal, such as the regular nonagon or decagon.

Isosceles Trapezoid

A trapezoid with a pair of equal-length legs.

Kite

A quadrilateral with two distinct pairs of adjacent sides that are equal.

Parallelogram

A quadrilateral with opposite sides that are both equal and parallel.

Sum of Interior Angles Formula

The formula for the sum of interior angles of a polygon: (n-2) × 180°.

Measure of Each Interior Angle Formula

For a regular polygon, the measure of each interior angle is (n-2) × 180° / n.

Finding the Number of Sides from Interior Angle

To find the number of sides (n) given an interior angle, use the equation: angle = (n-2) × 180° / n.

Finding the Number of Sides from Exterior Angle

To find the number of sides (n) given an exterior angle, use the equation: angle = 360° / n.

Variable in Geometry

Symbols used to represent numbers in equations, often used to find unknown measures in polygons.

Algebraic Equation

An equation that uses variables, constants, and operations to find the value of unknowns.

Quadrilateral

A polygon with four sides, which can include shapes like rectangles, squares, and trapezoids.

X-values in Polygons

The values of the variable 'x' found through solving equations related to the measures of angles or sides in polygons.