Basic Vocabulary
I have no size, only represent a location.
A Point
What is the distance between the points (-1,4) and (3,7)
5 units
The two rays of an angle are also called ________.
Sides
B is a point in between A and C. If AB = 20 and BC = 34, what is the length of AC?
54 units
I have no thickness, but infinite length and width.
The midpoint for (3,2) and (-5,1).
(-1,1.5)?
A ray that divides an angle into two congruent angles starting from the angle's vertex.
What is an angle bisector?
Angle ABC = (x+10) degrees, Angle CBD = (2x+3) degrees, and Angle ABD = (4x-10) degrees. Find the measure of Angle CBD.
49 degrees
An acute angle is this.
Less than 90 degrees
I begin at a point and extend infinitely in one direction.
A Ray
The midpoint for (4,1) and (-2,-1).
(1,0)?
Angles that have the same measure are _________.
Congruent
M is the midpoint of XY. If XM = 2n+6 and XY = 36, find the value of n.
n =6
Obtuse angle
I divide a line segment into two congruent segments.
Midpoint or Segment Bisector
What is the distance between the points (2,-4) and (5,5)? (100 Bonus Points for Simplifying the Radical)
Sqrt (90)
3*Sqrt(10)
Two rays that share a common endpoint make up an angle. This common endpoint is called the _______.
The Vertex
Ray CF is an angle bisector of Angle ACE.
If Angle ACF = (2x+30) degrees and Angle ACE = 120 degrees, what is the value of x.
x=15
Two lines that intersect at a right angle
Perpendicular
If M is the midpoint of XY, find Y when X is (2,5) and M is (-1,4).
Y = (-4,3)
This type of angle is equal to 180 degrees
Straight Angle
Lines AB and DE intersect at point C. Ray CF is an angle bisector of angle BCE and angle BCF equals 20 degrees. What is the measure of angle BCE?
What is 40 degrees?
If ray BD bisects the right angle ABC, then angle ABD measures how much?
What is 45 degrees?