1.1
what is a line? (definition)
What is the distance between these endpoints?
(5,-8) and (-7,4)
Approximately 16.97
Write the statement as a conditional.
You can register to vote if you are at least 18 years old.
If you're 18 years old, than you can register to vote.
What is the Law of Detachment?
Law of logic that states if a conditional statement and its hypothesis are true, then its conclusion is also true.
What is proof? (definition)
A convincing argument that uses deductive reasoning.
What is a point? (definition)
A location and has no size on a line.
What would the midpoint of these endpoints?
(0,1) & (0,-7)
(0,-3)
Write the statement as a conditional.
Donovan can go to the game if he does his homework.
If Donovan does his homework, than he can go to the game.
What is deductive reasoning? (Definition)
A process of reasoning using given and previously known facts to reach a logic conclusion.
What is a theorem? (definition)
A conjecture that is proven.
What is a plane? (definition)
An infinite number of points and lines on a flat surface that extends without end and has no thickness.
What is the midpoint formula?
M = (X1 + X2 divided by 2) + (Y1 + Y2 divided by 2)
What is a inverse? (definition)
Obtained by negating both the hypothesis and the conclusion of a conditional.
If point D is is in the interior of <ABC, then m<ABC = m<ABC + m<DBC. What can you logically conclude about m<ABC?
<ABC = <ABD + <DBC
Find the x and the degree of the angle.
(6x) & (3x + 60)
x = 20
120 degrees
What is a postulate? (definition)
A statement that is assumed to be true.
What would be the midpoint of these endpoints?
(-2,5) & (8,-12)
What is a contrapositive? (defintion)
What is the Law of syllogism?
If p --> q and q --> r are true. Then p --> r is true.
What is a two-column proof? (definition)
Which the statements and reasons are aligned in columns, is one way to organize and present a proof.
What are points and lines that lie on the same plane called?
Coplanar
What would the distance be within these points?
(-2,5) & (8,-12)
Approximately 19.72
What does a biconditional statement result as?
p if and only if q.
Use the Law of Syllogism for this statement (assume this is true)
If an integer is divisible by 6, it is divisible by 2. If an integer is divisible by 2, then it is a even number.
If an integer is divisible by 6, then it is an even number.
If two angles are complementary to each other, what does it add up to?
90 degrees.