The Undefined Terms
A location in space with no dimension, usually represented with a small dot.
What is a point?
Part of a line with two endpoints is called a ________.
What is a segment (line segment)?
Which postulate allows you to find the distance between two points on the number line?
What is the Ruler Postulate?
The common endpoint of two rays that form an angle is called the _____.
What is the vertex?
A ray that divides an angle into two congruent angles is called a _____.
What is an angle bisector?
A flat surface that extends infinitely in 2 dimenstions.
What is a plane?
Part of a line with one endpoint that extends infinitely in one direction is called a ______.
What is a ray?
Which postulate states that if B is between A and C, then AB + BC = AC?
What is the Segment Addition Postulate?
Name ∠ABC in two other ways.
What are ∠CBA and ∠B?
If ray BD bisects ∠ABC, and m∠ABD = 25°, then m∠DBC = _____.
What is 25°?
A straight path that extends without end in 1 dimension.
What is a line?
Two rays that share a common endpoint and extend infinitely in opposite directions are called _____.
What are opposite rays?
If AB + BC = AC, what do we know about the position of point B?
What is 'B is between A and C'?
A tool used to measure angles is called a _______.
What is a protractor?
If ray BX bisects ∠ABC, and m∠ABC = 70°, then m∠ABX = _____.
What is 35°?
A line contains at least how many points?
What is 2?
Sometimes, Always, or Never:
Opposite rays form a straight line.
What is always?
If AB = 5, BC = 3, and AC = 8, is B between A and C? Why?
Yes, because AB + BC = AC (or SAP works).
Point D is in the interior of ∠ABC. If m∠ABD = 30° and m∠DBC = 45°, then m∠ABC = _____.
What is 75°?
If m∠ABD = 3x + 5 and m∠DBC = 2x + 15, and ray BD bisects ∠ABC, find x.
What is x=2?
The intersection of two distinct lines is always a _____?
What is a point?
Name the two rays that make opposite rays if point C is between A and B on line AB.
What are rays CA and CB?
M is the midpoint of segment AB. If AM = 4x – 2 and MB = 2x + 6, find the value x.
What is x = 4?
Q is in the interior of ∠RXS. m∠RXQ = (x + 15)°, m∠QXS = (3x +5)°, m∠RXS = (5x - 7)°. Find x and m∠RXS.
x = 12, m∠RXS = 53°
If m∠1 = 5x – 7, m∠2 = 3x + 5, and ray bisects ∠ABC, find m∠ABC.
What is 66?