Reasoning
Conditional Statements
Algebraic Proofs
Segment Proofs
Angle Proofs
100

5, 10, 20, 40, 80, ___, ___, ___

How would you generate the next term of this sequence?

To generate the next term, double the previous term.

100

Conditional statements are statements that can be written in if - ____ form.  What word goes in the blank?

Then

100

DOUBLE POINT QUESTION! 

What property of equality is represented by this statement?

If 3=x, then x=3.

Symmetric Property

100

The ________ of a line segment divides the segment into 2 congruent parts.

Midpoint
100

DOUBLE POINT QUESTION! 

Two angles are _______ if the sum of their measures adds up to 90 degrees.

Complementary

200

Which of the symbolic notations below would represent a conditional statement?

p -> q or q -> p 

p -> q

200

DOUBLE POINT QUESTION! 

Conditional, Inverse, Contrapositive and Bi-conditional are 4 of the 5 types of conditional statements.  What is the other type of conditional statement?

Converse Statements

200

Identify the property that is used to solve the equation: 

6x = 42

Division Property of Equality 

200

If A, B, and C are collinear points and B is between A and C, what reason allows me to make the following statement:

AB + BC = AC

Segment Addition Postulate

200

An ______________ divides an angle into two equal parts.

Angle Bisector

300

DOUBLE POINT QUESTION! 

a. Identify the hypothesis and conclusion

b. Provide a counterexample

If a figure has four sides, then it is a rectangle. 

p= a figure has four sides 

q= it is a rectangle 

Counterexample: rhombus, parallelogram, kite, etc. 

300

Write the statements as a biconditional: 

If you can vote, then you are at least 18 years old. If you are at least 18 years old, then you can vote.

You can vote if and only if you are at least 18 years old.

300

Which property of equality is represented by the following statement:

3(x-6) = 3x-18

Distributive Property

300

If PQ + RS = PS and RS = XY, then PQ + XY = PS.  What reason justifies this statement:

A. Symmetric Property

B. Segment Addition Postulate

C. Substitution Property

D. Transitive Property

D. Transitive Property

300

_________ lines form right angles.

Perpendicular

400
Provide a counterexample to show that the conjecture is false: 


If two angles are supplements of each other, then one of the angles must be acute. 

Both are right angles/ 90 degree angles. 

400

Which Biconditional Statement is true

A. I live in Cloverdale if and only if I live in Indiana

B. It is Thanksgiving if and only if it is November

C. It is Valentine's Day if and only if it is February 14

C. It is Valentine's Day if and only if it is February 14

400

Solve the equation. Justify each step. 

5(3x - 20) = -10 

x = 6

Distributive property, Addition property of =, Division property of = 

400

DOUBLE POINT QUESTION! 

If AB = BC, then I can say that B is the midpoint of AC via what reason?

Definition of Midpoint

400

Given: Angle 1 and Angle 2 are complementary, and Angle 2 and Angle 3 are complementary, what reason allows me to say that Angle 1 is congruent to Angle 3


Congruent Complements Theorem

500

True or false? If false, provide a counterexample. 

Supplementary angles are always congruent.


False, ex. 130 & 50

500

a. What is the converse of the following conditional statement? 

b. Is the converse true or false? 

If it is Saturday, then there is no school.

a. If there is no school, then it is Saturday.

b. False, it could be Sunday, summer, vacation, etc. 

500

DOUBLE POINT QUESTION! 

Which property of equality allows me to make the following statement?

If 10a = 2b and 2b = 3c, then 10a = 3c

Transitive Property

500

If PQ = RS and RS = TU, then what statement can I make using the transitive property?

PQ = TU

500

Given that angles 1 and 3 form a right angle, what reason allows me to say that angles 1 and 3 are complementary

Definition of Complementary

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