Geometry unit 2 test

Set

A collection of elements

Finite set

Has a countable number of elements (ex: a,3,b,f)

Infinite set 

Uncountable number of elements (1,2,3,4…) (… -4,-3,-2,-1)

Empty set

No elements ø or ()

Point 

Location in space, represented by a dot, and is named by a capital letter. Has no length, width, or thickness.

A. Indicates a place or position 

Line 

A set of pts. It is an infinite set of points that extends endlessly in both directions. Two points create this however their is an infinite number amount of points on this .

Ways a line can be named 

Capital letter, and one lowercase cursive letter 

Plane 

Flat surface, set of points that form a completely flat surface, extending indefinitely in all directions. Has no boundaries 

Ways a plane can be names 

Capital letters (ABC) (BAC), one lowercase letter Plane p (cursive p)

Colinear

3 or more points that lie on the same straight line 

Noncollinear 

3 or more points that do not lie on the same straight line

Example of collinear and non collinear

A line segment 

A subset or part of a line a set of points consisting of points on a line called end pts 

Line segment example 

Midpoint 

The point on a line segment that divides the segment into two congruent parts 

AM≈MB

AM=1/2AB

MB=1/2AB

2AM=AB

2MB=AB

Give 5 conclusions from this picture 

Line bisector 

Any line of subset of a line that intersects a segment at its mdpt. “Cuts in half”

Ray

Part of a line that consists of a pt on the line called an endpoint and all the pts on one side the endpt. 

Ray example 

Additional and subtraction of segments 

A line segment is the sum of two lines within the line segment 

Angle 

Set of pts that is the union of two rays having the same endpt. 

Acute

An angle whose degree measure is greater then 0 and less than 90

Right angle 

Angle whose degree measure is exactly 90

Straight angle 

Angle whose degree measure is exactly 180

Reflex angle 

Angle whose degree measure is greater than 180 and less than 360 

Adjacent angles

Two angles (in the same plane) that have a common vertex and a common side but do not have interior pts in common 

Adjacent angles example 

Reflex angle example

Complimentary angles 

Two angles the sum of whose degree measure is 90 degrees each angle is called the compliment of the other. 

Supplementary angles 

Two angles the sun of whose degree measure is 180 degrees. Each angle is called the supplement of the other 

Vertical angel 

Two angels in which the sides of one angle are opposite rays of the second. 

Formed by intersecting lines. Vertical lines make a “X”

Angle bisector 

A ray whose endpt. is the vertex of the angle and that divides the angle into two congruent angles

Perpendicular lines 

Two lines that intersect to form a right angle 

Perpendicular bisector 

A line, line segment or ray that is perpendicular to a line segment and bisects the line segment