Propositions
Transversals
Two-Column Proofs
Triangles
Other
100
The proposition that bisects a line.
What is Proposition 10?
100
EF and GH are parallel
Define Angles 6 and 7
Yes I did that on purpose
What is vertical angles?
100
Fill in the missing blanks
What is
1) BI and RN bisect each other at A
2) Definition of segment bisector
3) RA is congruent to AN
4) Vertical Angles Theorem
5) SAS Congruence
100
Name this triangle
What is a scalene triangle
100
Define a postulate and give two examples
What is something you can just do
1) To draw a straight line from any point to any point
2) To produce a finite straight line continuously in a straight line.
3) To describe a circle with any centre and distance.
4) That all right angles are equal to one another.
5) That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
200
The proposition that proves SAS congruence.
What is Proposition 4?
200
EF and GH are parallel
Define Angles 5 and 6
BONUS IF YOU CAN GIVE BOTH NAMES
What is a linear pair/supplementary angles?
200
Fill in the missing steps
What is
1) SN is congruent to TN
2) Given
3) TE is perpendicular to RE
4) Definition of perpendicular lines
5) Angle SRN is congruent to angle NET
6) Vertical Angles Theorem
7) AAS Congruence
200
Explain the "Battery Theorem"
What is if two pairs of angles are proven congruent in two triangles, then the third angle of both triangles must also be congruent to each other.
200
Define a common notion and give two examples
What is something that you can build a proof upon
1) Things which are equal to the same thing are also equal to one another.
2) If equals be added to equals, the whole are equal.
3) If equals be subtracted from equals, the remainders are equal.
4) Things which coincide with one another are equal to one another.
5) The whole is greater than the part.
300
The purpose of Proposition 13
What is proving that two adjacent angles form to sum to two right angles?
300
EF and GH are parallel
Define Angles 7 and 3
What are corresponding angles?
300
Fill in the missing steps of the proof:
1. 
4. Vertical Angles Theorem
6. 49=3x+4
8. Division property
300
Two true things about an isosceles triangle
DOUBLE POINTS IF YOU CAN NAME THE PROPOSITION THAT DEALS WITH THE ISOSCELES TRIANGLE
What is 1) Two sides of the triangle are congruent and 2) The base angles (where the two congruent sides meet the third side) are congruent.
Proposition 6 proves two base angles are equal.
300
Definition of a surface AND a plane surface
What is 1) A surface is that which has length and breadth only and 2) A plane surface is a surface which lies evenly with the straight lines on itself.
400
The purpose of Proposition 7
What is prove that it is not possible to construct two difference triangles that have two pairs of equal sides extending from the same sides of the same base?
400
EF and GH are parallel
Define Angles 3 and 6
What are alternate interior angles?
400
What is
1. Given
2. Definition of midpoint
4. Substitution property
5. 2x=16
6. Division property of equality
400
The minimum number of congruent corresponding parts needed to prove that two triangles are congruent
BONUS IF YOU CAN NAME THE AMBIGUOUS CASE
What is three?
The ambiguous case is SSA.
400
Definition of a point AND a straight line
What is 1) A point is that which has no part and 2) A straight line is a line which lies evenly with the points on itself.
500
Describe how to make an equilateral triangle from Proposition 1.
What is 1) Start with a given finite line 2) Construct a circle using one endpoint as the center and the length of the finite line as the radius 3) Repeat (2) with the other endpoint 4) Connect the end points of the finite line with the intersection of the constructed circles.
500
EF and GH are parallel
Define Angles 1 and 8
What are alternate exterior angles?
500
Fill in the missing steps
What is
2. Definition of Consecutive Interior angles
3. c is parallel to d
4. Definition of Consecutive Interior angles
5. Congruent Supplements Theorem (If two angles are supplementary to the same angle then they are supplementary to each other)
500
The distance formula
500
Definition of an exterior angle
What is an angle formed outside a polygon by extending one of its sides, creating a linear pair (adding to 180 degrees) and is equal to the sum of the sum of the two remote interior angles.