Polygons & Angles
The sum of the exterior angles of any polygon.
What is 360°?
This formula is used to find the slope of a line.
What is (y₂ − y₁) / (x₂ − x₁)?
The total measure of a triangle’s interior angles.
What is 180°?
The “O” in SOH-CAH-TOA stands for this.
What is opposite?
Formula for the area of a circle.
What is πr²?
Formula for the sum of the interior angles of an n-sided polygon.
What is 180(n − 2)?
Lines with negative reciprocal slopes are called this.
What are perpendicular lines?
A triangle with two congruent sides.
What is an isosceles triangle?
The trig ratio for adjacent over hypotenuse.
What is cosine?
Formula for the volume of a cylinder.
What is πr²h?
Each interior angle of a regular octagon.
What is 135°?
The midpoint between (2, 4) and (6, 8).
What is (4, 6)?
This theorem says: exterior angle = sum of the two remote interior angles.
What is the Exterior Angle Theorem?
The Pythagorean Theorem.
What is a² + b² = c²?
Arc length formula (in terms of θ).
What is (θ/360) × 2πr?
Number of sides in a polygon where each exterior angle is 30°.
What is 12 sides?
Distance between (0, 0) and (5, 12).
What is 13 units?
The triangle with all sides and all angles congruent.
What is an equilateral (equiangular) triangle?
If tan(θ) = 3/4, opposite = 3, adjacent = 4. Find the hypotenuse.
What is 5?
Surface area of a cylinder.
2πr(r+h)
Each interior angle of a regular 20-gon.
What is 162°?
The coordinates of the point that divides the segment from (2, 2) to (8, 8) in a ratio of 1:2.
What is (4, 4)?
The midsegment of a triangle is 5 units long. How long is the base it’s parallel to?
What is 10 units?
If sin(θ) = 0.6 and the hypotenuse = 10, find the length of the opposite side.
What is 6?
A cylinder has a radius of 3 and height of 4. Find the exact volume.
What is 36π units³?