Laws
By Definiton
What's next?
It's conditional
100
Given "If P, then Q"... By the law of detachment, what do you need in order to conclude Q?
What is P?
100
These angles add up to 180 degrees.
BONUS 100: Name 2 possible answers.
What are Supplementary Angles?
BONUS: Linear Pair
100
4, 8, 16, 32 ...
BONUS 100: What type of reasoning do you use here?
What is 64?
BONUS: Inductive (pattern)
100
Restate the following as a conditional statement.
P = "I eat chicken nuggets"
Q = "I eat dino shaped nuggets"
If I eat chicken nuggets, then I eat dino shaped nuggets.
200
This is the order the Law of Syllogism must follow.
BONUS 200 points: What property is this similar to?
If P --> Q and
Q --> R
then, P--> R.
BONUS: Transitive Property.
200
What is the Segement Addition Postulate?
200
17, 23, 30, 38...
What is 47?
200
P = "it is Christmas" Q = "I eat candy canes"
Write the inverse.
If it is not Christmas, then I will not eat candy canes.
300
Use the Law of detachment to make a conclusion (if possible).
If you are a pitcher, then you are on the baseball team.
Given: You are on the baseball team.
Inconclusive.
300
This property allows me to conclude the following:
If 4x + 6 = y and y = 2x - 7, then 4x + 6 = 2x - 7.
What is the transitive property?
(Substitution also okay)
300
Given: <1 and <2 are supplementary.
<1 + < 2 = 180.
300
P = "I go to the store" Q="I will buy ice cream"
Write the converse.
If I buy ice cream, then I will go to the store.
400
Use the Law of Syllogism to make a conclusion (if possible).
If it snows, then I will go skiing. If I go skiiing, then I will be happy.
If it snows, then I will be happy.
400
Use the following diagram. By the definition of vertical angles, what can I conclude?
x = 50
400
Given: AD bisects <BAC
<BAD is congruent to <DAC
400
P = "It is not my birthday" Q = "I do not eat cake"
Write the contrapositive.
BONUS 100 POINTS if you can provide a counter example for the contrapositive.
If I eat cake, then it is my birthday.
BONUS EX: It is your siblings birthday and you ate cake.
500
What Law is demonstrated in the following.
If Taylor Swift does not announce Reputation (Taylor's Version) soon, then I will be sad.
Taylor Swift has not announced Reputation (TV).
Conclusion: I am sad.
What is the Law of Detachment?
500
Given: AB + BC = BC + CD
Conclude: AB = CD
This is the justification.
What is the Subtraction Property of Equality?
500
Given:
<ABD is a right angle or <ABD is 90 degrees.
500
Provide a counter example for the conditional statement.
"If two angles are complementary, then they are congruent."
EX: 40 and 50
(anything except 45 and 45).