# Geometry Finals

## 41 terms

SOH

CAH

TOA

### Angle of Elevation

Angle that is formed when looking up. The angle is formed with the horizon line

### Angle of Depression

Angle that is formed when looking down. The angle is formed with the horizon line.

### (x1 + x2) ÷ 2, (y1 + y2) ÷ 2

Equation for midpoint

### √(x2-x1) 2 + (y2- y1) 2

Distance Equation

### y= mx + b

Slope Intercept Form

Point Slope Form

Slope

Triangle

### A= s2 √3 / 4

Equilateral Triangle

Square

### A=b⋄h

Rectangle, Parallelogram

Trapezoid

Regular Polygons

Circle (area)

Circumfrence

### Central Angle/ 360 x pi r 2

Sector of a Circle

### Central Angle/ 360 x 2 pi r

Arclength of a Circle

The given distance from the center point; Any segment that going a point (on the circle) to the center point

### Chord

A segment whose endpoints lie on the circle

### Diameter

A chord that passes or contains the center point of a circle

### Secant

A line that contains a chord

### Tangent

A line in a plane that intersects a circle at exactly one point

### Point of Tangency

The single point where a tangent line and a point of a circle intersect.

### Sphere

The set of all the points in a space that are given a certain distance from the center point

### Concentric Circles

Circles that lie in the same plane and have the same center point

### Concentric Spheres

Spheres that have the same center point

### Inscribed

When a polygon is drawn inside of a circle and each vertex of the polygon lies on the circle. (Refers to the polygon)

### Circumscribed

When a circle is drawn around a polygon and each vertex of the polygon lies on the circle. (Refers to the circle)

### "Lawsuit theorem"

When a radius meets a tangent, a right angle is formed (converse works as well)

### "Ice cream cone theorem"

Tangents to a circle from the same point are congruent

### "Silent duck theorem"

A radius perpendicular to a chord bisects the chord and its arc

### "Tennis ball theorem"

Congruent arcs have congruent chords (converse works as well); Chords equidistant from the center of the same circle are congruent(converse works as well)

### "Pizza theorem"

Then central angle equals the arc

### "Pac man theorem"

The inscribed angle equals half the arc (same for tangent chord angles)