Show:
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 x = 2 What property did we use?
Subtraction Property of Equality
100
How do vertical angles relate to each other?
They are congruent.
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
How do you use the law of detachment?
Find an example that makes the hypothesis of a conditional statement true. (Then assume the conclusion is also true in this case.)
200
.5x + 3 = 7 x + 6 = 14 What property did we use?
Multiplication Property of Equality.
200
What is the difference between complimentary 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 if an example of what property?
Reflexive.
300
If two angles are supplementary to the same angle what do you know about them?
They are congruent to each other.
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
What must be true for a biconditional to work?(conditional, converse, inverse, or contrapositive..)
Conditional and converse
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
What do you know about all right angles in relation to each other?
They are congruent.
500
Which are true? The conditional, converse, inverse, and/or contrapositive.
Conditional and contrapositive.
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
Define the law of syllogism.
If a hypothesis implies a conclusion and that implies another conclusion, then the original hypothesis implies the second conclusion.
500
Define the substitution property.
If we know what a something equals then we can use the other value in it's place. In x + 7 if we know x = 2 then we have 2 + 7 = 9. Answers will vary.
500
Explain how you know that congruent supplementary angles are right.
They are two equal measures that add to 180, which must be 90 + 90, by definition a right angle.