ACT Geometry Supplement

Flashcards covering geometry terms, angle relationships, triangle properties, and coordinate geometry formulas based on the lecture transcript.

supplementar

divide $1800$

complimentary

divide $900$

parallel lines

Lines that never touch

transversal

A line that creats special angies

corresponding angies

Angles on the same side that are always equal

alternate Interior angles

Angles on opposite sides that are also equal

Vertical angles

Angles at an intersection that are always equal

adjacent angles

Angles that share a common vertex and side

Alternate exterior cingles

Angles outside parrallels that are equal

Saime side gingles

Angles that add up to $1200$

Triangle Side Rule

smallest side + small side = big sides. $2$

Pythagorean theorum

$$a^2+b^2=c^2$$

Pythagorean triples

$(3,4,5)$ and $(5,12,13)$

Circumference

$2\times\text{π}\times r$, also known as the perimeter of a circle

secants

Lines that touch a circle in two points

tangents

Lines that touch a circle in one point

Area of a Trapezoid

$$a = \frac{b_1+b_2}{2}h$$

Area of a Circle

$$a = \text{π}\times r^2$$

Slope intercept

$$y = mx+b$$

slope formular

$$m = \frac{x_2-4}{x_2 - x_1}$$

Midpoint formula

$$x = \frac{x_1+x_2}{2}, y_m = \frac{y_1+y_2}{2}$$

Distance formula

$$d = \text{√}((x_2-x_1)^2 + (y_2-y_1)^2)$$

diameter

$2r$ or radius $\times 2$