Advanced Geometry - Unit 1

Undefined Term

Undefined Term

term that is best described using pictures. (Point, line, and plane)

Point

a dot

Line

infinite set of points

Plane

a 2D flat surface which contains points and lines.

Defined Term

Terms with definitions

Collinear

3 or more points on the same line

Coplanar

3 or more points on the same plane

Intersection

Where 2 things meet

Space

Where everything is contained

Line Segment

A line with 2 endpoints. A piece of a line

Congruent Segments

Segments of the same length

Distance

Always a positive measurement

Irrational Number

Numbers with a decimal

Distance Formula

Radical (x2-x1)^2 + (y2-y1)^2

Midpoint Formula

(x1+x2)/2, (y1+y2)/2

Midpoint

A point in the middle

Segment Bisector

Cuts a segment in half

Ray

Continues infinitely to 1 side

Opposite Rays

2 rays that share an endpoint and travel in opposite directions to form a straight line.

Side

A side of an angle, also a ray

Vertex

Shared endpoint of an angle

Degree

Measurement of an angle

Right Angle

A 90 degree angle

Acute Angle

An angle less than 90 degrees

Obtuse Angle

An angle greater than 90 degrees

Angle

Formed by 2 rays that share an endpoint

Interior

Inside

Exterior

Outside

Angle Bisector

Cuts and angle in half

Adjacent Angles

Angles that share a side

Linear Pair

2 angles that form a straight line

Vertical Angles

Opposite of each other and rays form an X

Complementary Angles

2 angles that add up to 90 degrees

Supplementary Angles

2 angles the add up to 180 degrees

Perpendicular

2 lines that form a right angle

Polygon

a closed, sided figure

Vertex of a Polygon

Where 2 sides of a shape meet

Concave Shape

When a side is extended and it passes through the interior

Convex Shape

When a side is extended and does not go through the interior

Equiangular Polygon

All angles are the same

Regular Polygon

All angles and sides are the same

Equilateral Polygon

When all sides are the same

3 Sides

triangle

4 Sides

Quadrilateral

5 Sides

Pentagon

6 Sides

Hexagon

7 Sides

Heptagon

8 Sides

Octagon

9 Sides

Nonagon

10 Sides

Decagon

11 Sides

Hendecagon

12 Sides

Dodecagon

13+ Sides

N-gon