Conditionals
Deductive Reasoning
Definitions & Properties
Postulates & Theorems
Inductive Reasoning
100
A conditional statement is a logical statement that has two parts, a ________________ and a _______________.
What is hypothesis & conclusion?
100

What words do you use to write a conditional 

if..... then

100

If a =b, then a - c = b - c.

What is the subtraction property of equality?

100

Points x, y, and z are collinear. xy + yz = xz

What is your reason for this.

segment addition

100
The next two terms in the sequence of 1, 3, 5, 8, 11, 15, 19, 24, ____, ____
What is 29 & 35?
200
Given: If Jessica does her work, then she gets and A in Geometry. The contrapositive to this conditional is...
What is "If Jessica does not get an A in Geometry, then she does not do her work."
200

Given: If you pass the road test, then you will get your driver's license. Lexi passed the road test. What can you conclude?

What is Lexi will get her driver's license. 

200
a(b + c) = ab + ac
What is the distributive property?
200

The measure of angle ABD + the measure of angle DBE = the measure of angle ABE.

What is a good reason?

Angle addition 

200
The next term in the sequence 1/2, 2/6, 3/18, 4/54, _____
What is 5/162
300
Given: If Jansen comes to Geometry, then he has fun. The converse to this conditional is....
What is Jansen has fun, then he comes to Geometry.
300

Anthony goes to the movies every Friday and Saturday night. Today is Friday. What is the conclusion?

Anthony will go to the movies tonight.

300
For any segments AB, CD, and EF, if AB = CD and CD = EF, then AB = EF.
What is transitive property?
300

If angle Q and angle R form a right angle, then angle Q and angle R are complementary. Reason?

Definition of Complementary

300

The sum of two integers is always positive.  Is this true/False.  Give counterexample

False? Counterexample will vary: ex: -13 + 2 = -11

400
Given: If Vera is in 6th block, then she is in Mr. Davis's class. The inverse to this conditional is....
What is "If Vera is not in 6th block, then she is not in Mr. Davis's class"?
400

Given: If two angles have the same measure, then they are congruent. Measure of angle A equals measure of angle B. What is the conclusion?

Angle A is congruent to angle B

400

Give an example of the reflexive property.

<B  is congruent to <B

400

Angle 1 and angle 3 are vertical angles; therefore, angle 1 is congruent to angle 3.  What type of angles are these called?

Vertical angles 

400

All states in the US share a border with another state.

True/False and give a counterexample

False (counterexample: Alaska or Hawaii)

500

Given: If the sum of two angles form a linear pair, then they are supplementary. The bi-conditional is...

"The sum of two angles form a linear pair if and only if they are supplementary"

500

If Marlo gets a job, then she can afford a car. If Marlo can afford a car, then she will drive to school. What is the conclusion?

If Marlo gets a job, then she will drive to school.

500

if the measure of angle 1 equals the measure of angle 2, then angle 1 is congruent to angle 2.  What a good reason for this?

Definition of congruent angles

500

If  then angle 1 and angle 2 are supplementary, then the measure of angle 1 + the measure of angle 2 = 180.  Reason 

Definition of Supplemtary.

500

If a figure has four congruent angles, then it is a square. True/False?  Counterexample?

What is false? (Counterexample: rectangle)

M
e
n
u