ASN
ID the Postulate
ID the Theorem
Vital Vocabulary
Statements and Reasons
100
Determine whether the following statement is always, sometimes, or never true: The intersection of two planes contains at least two points.
Always
100
Which postulate is used to show that two smaller segments add to make one larger segment?
Segment Addition Postulate (2.9)
100
Which theorem shows that vertical angles are congruent?
Theorem 2.10
100
What is another name for a postulate?
Axiom
100
State the reason that accompanies each statement in the proof below: 1. Angle 1 and angle 2 are a linear pair. (Given) 2. Angle 1 and angle 2 are supplementary. ( ??? )
Theorem 2.3 Supplement Theorem
200
Determine whether the following statement is always, sometimes, or never true: Three points determine a plane.
Sometimes
200
The intersection of two planes is a _____________. Reference the postulate number also.
Line Postulate 2.7
200
Which theorem explains the relationship between angles that are a linear pair? What is the relationship?
Theorem 2.3 They are supplementary
200
What is the name for the statement right after the word "then"?
Conclusion
200
State the reason that accompanies each statement in the proof below: 1. Angle 1 and angle 2 are a linear pair. (Given) 2. Angle 1 and angle 2 are supplementary. (Supple. Th.) 3. m<1 + m<2 = 180. ( ??? )
Definition of supplementary angles
300
Determine whether the following statement is always, sometimes, or never true: Points X and Y are in plane P. Any point collinear with points X and Y will also be in plane P.
Always
300
Which postulate says that two smaller angles add to make a larger angle?
Angle Addition Postulate (2.11)
300
Which theorem describes the relationship between complementary angles? What is that relationship?
Theorem 2.4 They add to 90 degrees.
300
What is the word for a mathematical statement that has been proven?
Theorem
300
State the reason that accompanies each statement in the proof below: 1. B is the midpoint of AC. (Given) 2. AB = BC. ( ??? )
Theorem 2.1 Midpoint Theorem or Definition of Midpoint
400
Determine whether the following statement is always, sometimes, or never true: There are at least two lines through points J and K.
Never
400
A plane is made of at least _____ of what type of points? Reference the postulate.
3 noncollinear points Postulate 2.4 or 2.2
400
If two different angles are each supplementary with a third angle, then the two original angles are ____________. Reference the theorem.
Congruent Theorem 2.6
400
A formal proof is also called a ...
Two-column proof
400
State the reason that accompanies each statement in the proof below: 1. AB = BC. (Given) 2. AB + BC = AC. ( ??? )
Segment Addition Postulate (2.9)
500
Determine whether the following statement is always, sometimes, or never true: Any two lines will intersect.
Sometimes
500
If two points are in a plane, then what do you know about the line containing those points? Reference a postulate.
The line is also in the plane. Postulate 2.5
500
Perpendicular lines form ____________________ . Reference a theorem.
4 right angles/or congruent adjacent angles Theorem 2.9/or Theorem 2.11
500
To show that a conjecture is false, you must find a ________________ .
Counterexample
500
Complete the proof below with reasons and statements. 1. 8 - x = 12. (Given) 2. 3. 4. 5. x = -4.
2. -8 -8 (Subtraction POE) 3. -x = 4 (Substitution POE) 4. Divide by -1 (Division POE or Multiplication POE) 5. (Substitution POE)