Conditionals
Reasoning
Definitions
Algebra Proofs
Angle Proofs
100
Identify the hypothesis and conclusion. "If Maddie sleeps through the night in the crib, then I will hug her."
Hypothesis - If Maddie sleeps through the night in the crib Conclusion - I will hug her
100
What comes next 4, 16, 64, 256.
1,024
100
What's a theorem
A conjecture that has been proven and accepted as fact.
100

x + 4 = 6 then x = 2 What property did we use?

Subtraction Property of Equality

100

How do vertical angles relate to each other?

They are congruent by the vertical angle theorem

200
Write the converse. "If Maddie sleeps through the night in the crib, then I will hug her."
If I hug Maddie, then she slept(sleeps) through the night in the crib.
200
Give a counterexample for, "You can make a triangle from any three point."
Collinear points.
200

Using a conditional statement - if you repeat the hypothesis of a conditional statement, you can assume the conclusion is also true in this case.

The law of detachment

200

.5x + 3 = 7 then x + 6 = 14 What property did we use?

Multiplication Property of Equality.

200

What is the difference between complementary and supplementary angles?

Complimentary add up to 90 and supplementary add up to 180.

300
Write the inverse. "If Maddie sleeps through the night in the crib, then I will hug her."
If Maddie does not sleep through the night in the crib, then I will not hug her.
300

If two angles are adjacent, then they share a vertex. Angles 1 and 2 are adjacent. What can you conclude and by what law?

They share a vertex by the law of detachment.

300

Complete the definition: A polygon is a pentagon, if and only if, ______________.

it has five sides

300

An angle is always congruent to itself is an example of what property?

Reflexive.

300

When you use the definition of angle bisector as a reason what are you able to say as the statement 

that the two angles are congruent or equal in measure 

400
Write the contrapositive. "If Maddie sleeps through the night in the crib, then I will hug her."
If I do not hug Maddie, then she did not sleep through the night in the crib.
400

What can you conclude and by what law? "If a number ends in 0 then it is divisible by 10. If a number is divisible by 10 then it is divisible by 5.

If a number ends in 0 then it is divisible by 5, by the law of syllogism.

400

It's represented by the symbol ~

negation 

400

If Sam has the same grade as Briggs and Cindy has the same grade as Briggs what can we assume? And what property do we use?

The Sam and Cindy have the same grade by the transitive property.

400

When you add two adjacent segments created by 3 collinear points together you get the length of the full segment. 

This is an example of what postulate 

Segment Addition 

500

When the conditional and converse are equivalent statements what kind of statement do you have 

A biconditional statement 

500

If you live in Mt. Pleasant then you live in Utah. If you live in Utah, then you live in the US. Zoey lives in Mt. Pleasant.

Zoey lives in the US.

500

If a hypothesis implies a conclusion, and a new statement starts with that conclusion which also leads to another conclusion,

then the original hypothesis implies the second conclusion. What law is being described here. 

Law of Syllogism 

500

When you change from a segment or angle proof to an algebraic proof, you've been able to switch out an equation for a value of a segment or angle. What property allows you to do so. 

Substitution. 

500

If supplementary angles are also congruent what do you know about their angle measures 

They are right angles. 

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