Geometry and Angle Theorems Review

Vocabulary flashcards covering angle patterns, supplementary and complementary angles, triangle theorems, and area and perimeter formulas for 2D geometric shapes.

Co-interior Angles (C-Pattern)

Interior angles between parallel lines on the same side of a transversal that add up to $180^\circ$, represented as $x + y = 180^\circ$.

Corresponding Angles (F-Pattern)

Angles in matching positions relative to parallel lines intersected by a transversal that are equal, each denoted as $x$.

Alternate Angles (Z-Pattern)

Angles on opposite sides of a transversal between parallel lines that are equal, each denoted as $x$.

Supplementary Angles on a Straight Line

Two angles on a straight line that sum to $180^\circ$, expressed by the equation $x + y = 180^\circ$.

Complementary Angles

Two angles forming a right angle that sum to $90^\circ$, expressed by the equation $x + y = 90^\circ$.

Exterior Angle of a Triangle

An exterior angle $z$ of a triangle is equal to the sum of the two opposite interior angles, expressed as $x + y = z$.

Area of a Rectangle

The measure of the interior region of a rectangle, given by the formula $A = L \times w$.

Perimeter of a Rectangle

The total distance around a rectangle, calculated as $P = 2(L + w) = 2L + 2w$.

Area of a Triangle

The measure of the interior region of a triangle, given by the formula $A = \frac{b \times h}{2}$.

Perimeter of a Triangle

The total boundary length of a triangle found by adding all three side lengths, given by $P = a + b + c$.

Area of a Circle

The total interior space enclosed by a circle, calculated using the formula $A = \pi r^2$.

Circumference of a Circle

The linear distance around the edge of a circle, calculated using the formula $C = 2\pi r$.