Logic defined
An educated guess from incomplete information or a pattern is called a
conjecture
What is the next number in the pattern:
5, 12, 19, 26...
33
What is the hypothesis in the following statement:
If the students get this question right, then Mrs. Mennona will do five jumping jacks.
If the students get this question right.
What is the converse of the following statement:
If I eat too much candy, then I will get sick.
If I get sick, then I ate too much candy.
When a conditional and its converse are true, you can combine them as a true
Biconditional
Vertical Angle Theorem
What is the theorem that states vertical angles are congruent?
An if-then statement is called a:
Conditional Statement
What is the 12th letter in the pattern:
A, B, A, C, A, B, A,C...
C
What is the conclusion in the following statement:
If the students get this question wrong, then Mrs. Mennona will run around the island.
Then Mrs. Mennona will run around the island.
What is the inverse of the following statement:
If the Broncos win the Super Bowl, then MPB students will suddenly become Broncos fans.
If the Broncos don't win the Super Bowl, then MPB students will not suddenly become Broncos fans.
Write the following as a biconditional:
You are only successful in Geometry, if you do your work.
You are successful in Geometry if and only if you do your work.
Definition of congruent segments.
When you switch the if statement with the then statement that is called a:
Converse
What is the next number in the pattern:
10, 5, 50, 25, 250, 125...
1250
Put the following into a conditional statement:
I'm going to study for this next test so Mrs. Mennona will smile more.
If I study for this next test, then Mrs. Mennona will smile more.
What is the contrapositive of the following statement:
If a tree falls in the forest, then it makes a sound.
If a tree doesn't make a sound, then it did not fall in the forest.
Is the following biconditional true, if not provide a counterexample:
A point is a midpoint if and only if it divides a segment into two congruent parts.
True
a= 6,
a+ 7 = 13
6+ 7 = 13
What is the property of substitution?
When you negate the if and then statements, that is called a(n):
Inverse
What is the next number in the pattern:
6, -10, 4, -12, 2...
-14
Is the following statement true or false:
If tomorrow is Sunday, then yesterday was Friday.
True.
State the converse of the following statement and determine if it's true or false:
If I get sick, then I will not go to school tomorrow.
If I don't go to school tomorrow, then I will get sick.
False.
Is the following biconditional true, if not provide a counterexample:
A figure is a square if and only if it is a rectangle.
False, a figure can be a rectangle without being a square.
Write an example of the transitive property.
Answers vary
When you switch the if statement and then statements, and negate them, that is called a:
Contrapositive
What is the 103rd letter in the pattern:
X, Y, X, Z, X, Y, X, Z...
Put the following into a conditional statement:
I will get this right, if I read the question closely.
If I read the question closely, then I will get this right.
State the converse of the following statement and determine if it's true or false:
If I live in Denver, then I live in Colorado.
If I live in Colorado, then I live in Denver.
False
Is the following biconditional true, if not provide a counterexample:
x=2 if and only if x2=4
False, x can also equal -2.
An angle is divided evenly into two smaller angles.
What is the Definition of an angle bisector.