Segments and Angles
The point on a segment that divides it into 2 congruent segments.
What is midpoint?
Two angles that are this are next to each other and share a ray.
What is adjacent?
"If 2 angles form a linear pair, then they are supplementary," is the wording of this important postulate.
What is the linear pair postulate?
The part of an if-then statement that follows the word "if".
What is hypothesis?
Identify this property: If 2x-2=4, then 2x=6.
What is the addition property of equality?
A segment, ray, line, or plane that intersects a segment at its midpoint.
What is a segment bisector?
Angles that are this do not share a ray.
What is non-adjacent?
What is the vertical angles theorem?
The part of an if-then statement that follows the word "then".
What is conclusion?
Identify this property: If 2x+2=4, then 2x=2.
What is the subtraction property of equality?
This is represented by the following:
((x1+x2)/2 , (y1+y2)/2 )
What is the midpoint formula?
What are vertical angles?
This property of equality or congruence could be shown like this: m<A=m<A or <A≅ <A.
What is the reflexive property?
An if then statement is called this in geometry.
What is a conditional statement?
Identify this property: If x/2=10, then x=20.
What is the multiplication property of equality?
Two angles whose measures sum to 90° are called this.
What are complementary angles?
Two angles that have this relationship are adjacent and form a line together.
What is a linear pair?
This property of equality or congruence could be shown like this: If m<A=m<B, then m<B=m<A. or
If <A≅ <B, then <B≅ <A.
What is the symmetric property?
This concept follows this format: p -> q, p -> _q_.
Here is an example:
If you are late to 1st block, then you are tardy. On Tuesday, you were late to 1st block. You were tardy.
What is the law of detachment?
Identify this property: If 2x=10, then x=5.
Two angles whose measures sum to 180° are called this.
What are supplementary angles?
A ray that divides an angle into 2 congruent angles is known as this.
What is an angle bisector?
This property of equality or congruence could be shown like this: If m<A=m<B and m<B=m<C, then m<A=m<C. or
If <A≅ <B and <B≅ <C, then <A≅ <C.
What is the transitive property?
This concept follows this format: p -> q and q -> r, so p -> r.
Here is an example: If the daily high temperature is 32°F or less, then the water in the pipe is frozen. If the water in the pipe is frozen, then the pipe will break.
If the daily high temperature is 32°F or less, then the pipe will break.
What is the law of syllogism?
Identify this property: If x=2 and 2x+3y=50, then 2(2)+3y=50.
What is the substitution property of equality?