Vocabulary
A(n) ____________ is a ray that divides an angle into two congruent angles.
Angle bisector
Two angles are _______ if the sum of their measures is 180 degrees?
Supplementary
A(n) ___________ is a segment, ray, line or plane that intersects a segment at its midpoint.
Segment bisector
The vertical angles theorem says that vertical angles are _____________.
Congruent
Two angles are _________ if the sum of their measures is 90 degrees.
Complementary
A point on a segment that divides it into two congruent segments is called the _____________.
Midpoint
Two angles are __________ if they if they have a common vertex and side, but no common interior points.
Adjacent
The midpoint of segment AB is point M, and the length of segment AB is 10 inches, thus the length of segments AM and MB are ___________.
5 inches
The "if" part of an if-then statement is usually called the ______________.
Hypothesis
To cut a segment into two congruent segments is to _____________ it.
Bisect
An unproven statement that is based on a pattern or observation is called a __________.
Conjecture
_______________ are non-adjacent angles whose sides are formed by two intersecting lines.
Vertical angles
If P is the midpoint of segment RS, and the length RP is 7 inches, then what is the length of PS?
7 inches
AB=AB and measure of angle A=measure of angle B are examples of the ____________ property of __________.
Reflexive property of equality
If two angles are supplementary to the same angle, then they are ______________.
Congruent
Something that is one-dimensional and extends without end in two directions is called a ____________.
Line
A ray that divides an angle into two congruent angles is called ____________________.
Angle bisector
The coordinates for the midpoint of segment AB, where A is (0,9) and B is (4,-3), is _________.
(2, 3)
If segment AB is congruent to segment CD then segment CD is congruent to segment AB. This is an example of the _____________ property of _____________.
Symmetric property of congruence
If two angles form a linear pair, then they are ___________.
Supplementary
Statements that are accepted without further justification are called _____________.
Postulates
Two adjacent angles whose non-common side are on the same line are called a _______________.
Linear pair
If M is the midpoint of segment AB, and AM is equal to 5x and MB is equal to 35, the value of x is ____________.
x = 7
If AB=CD and CD=EF then AB=EF, is an example of the _____________ property of ____________.
Transitive property of equality
If "I will buy the CD if it costs less than $15.00" is rewritten as an if-then statement, it would say ______________________.
"If the CD costs less than $15.00 then I will buy it."