Proofs
Reasoning
Grab Bag
RST Properties
Angle Bengals
100
The top two boxes and the bottom left box of a proof are these kind of "no hassle" statements we can make
What are gimmies, freebies, or given information
100
"Everyone who is locked in for the test review will do better. You are locked in right now. You will do better on tomorrow's test."
This is an example of this kind of reasoning:
What is deductive reasoning?
100
These two kinds of lines lie in the same plane and never intersect.
What are parallel lines?
100
Saying that segment AB is congruent to segment AB is an example of this property
What is the Reflexive Property?
100
The measure of these mathematical objects are often represented in degrees
What is an angle?
200
"Collinear" means that two points lie on the same _______
What is a line?
200
"Every two angle pairs add up to 90 degrees" can be proven false with the point that Supplementary angles add up to 180 degrees. This is an example of this concept found in basic logic:
What is counterpoint
200
Lines are coplanar if they contain at least this many non-collinear points
What is three?
200
This property allows us to change statements from x=4 to 4=x, like a mirror.
What is the Symmetric Property?
200
These pairs of angles add up to ninety degrees
What are complementary angles?
300
This reasoning from line 2 is what lets us get to the rest of the proof
What is the subtraction POE?
300
The next term in the following sequence:
1, 5, 25, 125...
What is 625?
300
This symbol is shorthand for this for this type of relationship between two lines:
What is perpendicular?
300
If angle 1 is congruent to angle 2 AND angle 2 is congruent to angle 3 then this property tells us that angle 1 is congruent to angle 3
What is the Transitive property?
300
m<1+m<3=180 is an example of an equation using this type of angle relationship.
Supplementary angles/linear pairs
400
The reasoning for this yellow box pictured below.
What is the subtraction POE?
400
Jane has 6 apples on Monday. On Tuesday she has 10 apples. On Wednesday she has 14 apples. On Thursday she has 18 apples. Using inductive reasoning she will have this many apples on Friday.
What are 22 apples?
400
This mathematical concept is what splits up a line into two equal parts
What is the midpoint/perpendicular bisector?
400
Given that angles 8 and 4 are congruent *this* statement would use the symmetric property to "flip" around what is said to be a statement that is equally true.
What is angles 4 and 8 are congruent?
400
We can say that angles 2 and 3 are congruent through this angle relationship (and geometry best friend!)
What are vertical angles
500
The justification for Step 5 on this diagram would be the following:
What is the Division POE?
500
P is the midpoint of segment SQ. The following congruence statement can then be made about the two segments:
Segment SP is congruent to Segment PQ
500
These two lines are this if they are in 3-D space, not intersecting, and not parallel
What are skew lines?
500
Given that angles 1 and 8 are congruent and angles 8 and 5 are congruent through vertical angles thm. then angles 1 and 5 are congruent through this property
What is the transitive property
500
Solve for x:
What is 8.18 or 8.2