Math Polygons Study Cards

Enhance Your Learning with Math Polygons Flash Cards for quick learning



Polygon

A closed figure with straight sides made up of line segments.

Triangle

A polygon with three sides and three angles.

Quadrilateral

A polygon with four sides and four angles.

Pentagon

A polygon with five sides and five angles.

Hexagon

A polygon with six sides and six angles.

Heptagon

A polygon with seven sides and seven angles.

Octagon

A polygon with eight sides and eight angles.

Nonagon

A polygon with nine sides and nine angles.

Decagon

A polygon with ten sides and ten angles.

Regular Polygon

A polygon with all sides and angles equal.

Irregular Polygon

A polygon with sides and/or angles that are not equal.

Convex Polygon

A polygon with no interior angles greater than 180 degrees.

Concave Polygon

A polygon with at least one interior angle greater than 180 degrees.

Perimeter

The distance around the outside of a polygon.

Area

The measure of the space inside a polygon.

Regular Triangle

A triangle with all sides and angles equal.

Right Triangle

A triangle with one right angle (90 degrees).

Isosceles Triangle

A triangle with at least two sides and angles equal.

Equilateral Triangle

A triangle with all sides and angles equal.

Scalene Triangle

A triangle with no sides or angles equal.

Regular Quadrilateral

A quadrilateral with all sides and angles equal.

Rectangle

A quadrilateral with four right angles (90 degrees).

Square

A quadrilateral with four sides and four right angles (90 degrees).

Rhombus

A quadrilateral with four sides of equal length.

Trapezoid

A quadrilateral with one pair of parallel sides.

Regular Pentagon

A pentagon with all sides and angles equal.

Regular Hexagon

A hexagon with all sides and angles equal.

Regular Heptagon

A heptagon with all sides and angles equal.

Regular Octagon

An octagon with all sides and angles equal.

Regular Nonagon

A nonagon with all sides and angles equal.

Regular Decagon

A decagon with all sides and angles equal.

Polygon Transformation

Changing the position, size, or shape of a polygon.

Translation

Moving a polygon without changing its shape or size.

Rotation

Turning a polygon around a fixed point.

Reflection

Flipping a polygon over a line of symmetry.

Dilation

Changing the size of a polygon without changing its shape.

Symmetry

A polygon has symmetry if there is a line that divides it into two identical halves.

Interior Angles

The angles inside a polygon.

Exterior Angles

The angles outside a polygon.

Sum of Interior Angles

The total measure of all interior angles of a polygon.

Sum of Exterior Angles

The total measure of all exterior angles of a polygon.

Regular Polygon Formula

A formula to find the measure of each interior angle of a regular polygon: (n-2) * 180 / n, where n is the number of sides.

Polygon Area Formula

A formula to find the area of a polygon: 0.5 * apothem * perimeter, where apothem is the distance from the center of the polygon to a side, and perimeter is the sum of all side lengths.

Pythagorean Theorem

A theorem that states in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Similar Polygons

Polygons that have the same shape but not necessarily the same size.

Congruent Polygons

Polygons that have the same shape and size.

Polygon Diagonals

Line segments that connect non-adjacent vertices of a polygon.

Regular Polygon Diagonals

Line segments that connect the center of a regular polygon to its vertices.

Polygon Circumference

The distance around the outside of a polygon.

Polygon Perimeter Formula

A formula to find the perimeter of a polygon: sum of all side lengths.

Polygon Apothem

The distance from the center of a polygon to a side.

Polygon Circumradius

The distance from the center of a polygon to a vertex.

Polygon Inradius

The distance from the center of a polygon to a side, perpendicular to that side.