Mixed Bag
Algebra Proofs
Segment Proofs
Angle Proofs
Conditional Statements
Definitions
100

What are complementary angles?

Angles that add to 90

100

The first reason on any algebra proof is this ____.

Given

100

Point a is in between point C and point B.  Point C and point B are collinear.  Therefore CA + AB = AC.  This is an example of which postulate?

What is segment addition postulate

100

The following is an example of the ______ property.

m<1 = 150 degrees.

m<1 + m<2 = 180 degrees

150 + m<2 = 180 degrees

What is substitution?

100
Write the statement as a conditional statement (IF/THEN)


All students love geometry

If you are a student, then you love geometry
100
Proving statements by reasoning from accepted postulates, definition, theorems, and given information

Deductive reasoning

200

What does equilateral mean? 

Same side lengths

200

Give an example of the subtraction property.  

x + 8 = 58

x = 50

200

Give an example of the segment addition postulate, with a drawing.  (Use the points A, B, and C).

AB + BC = AC

200

Explain how the angle bisector theorem is different then the angle addition postulate.  

With the angle bisector theorem the angle is split into two equal pieces.

200

What is the hypothesis of the statement...

If the students study, then they will get a good grade on the next test.

If the students study.

200

Used when you find a pattern in a specific case, and then write a conjecture for a general case 

Inductive reasoning

300

Name a set of vertical angles in this figure

1,3

2,4

300

This would be an example of the which property?

If /_A+/_B=180° and /_B+/_C=180°

 then

/_A=/_C


Transitive

300

True/False.  Definition of congruence is only used with segment proofs.

False.

300

Give an example of a property that is used just with angles.  

Angle Addition Postulate

Angle Bisector

Supplementary Angles

Complementary Angles

300

What is the conclusion in the statement...

If you live in Saint Joseph, then you live in Missouri

You live in Missouri

300

A specific case to prove a conjecture is false. 

Counter example

400

Provide a counterexample 

All triangles are regular

Drawing

400

What is the last reason for the following algebra proof?


What is the division property of equality?

400

This reason justifies statement 2 in the following proof.


What is the definition of midpoint?

400

Which theorem tells us that

If 

 /_1 and /_2 are supplements

and /_2 and /_3

are supplements.

Then 

/_1 cong/_3

Congruent supplements theorem

400

What is the contrapositive of the following statement

If the number is prime, then it is odd

If the number is not odd (even), then the number is not prime.

400

The opposite of an original statement (add not) 

Negation

500

How do you know when to put a definition for a vocab word as a reason? 

When there is a vocab word in the statement

500

What is a logical 2nd statement (assuming the first is a given):

x + y = w + v

500

What would be the last reason in the following proof?

Definition of segment congruence

500

Give statement #6



What is m<1 + m<5 = 180?

500

The statement that you use to connect a conditional with its converse to make a biconditional.

If and only if

500

Write the converse of a conditional statement and negate both the hypothesis and conclusion. 

Contrapositive