Midterm Prep

What can these angles be classified as?

Alternate Interior Angles

What can these angles be classified as?

Consecutive Interior Angles

What can these angles be classified as?

Corresponding Angles

What can these angles be classified as?

Consecutive Exterior Angles

What property is this: one value can replace another value in an expression or equation and the value will remain the same

Substitution Property

What property is this: if two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal

Addition Property of Equality

Which property is this: an equal value subtracted or removed from two equal items will result in a new equal amount

Subtraction Property of Equality

Which property is this: if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other

Multiplication Property of Equality

Which property is this: if both sides of an equation are divided by a common real number that is not equal to 0, the quotients remain equal

Division Property of Equality

Which property is this: number is always equal to itself

Reflexive Property

Which property is this: if a=b, then b=a

Symmetric Property

Which property is this: if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other, if a=b and b=c, then a=c

Transitive Property

Which property is this: a≅b is equivalent to a=b

Definition of Congruence

Which property is this: ab+bc=ac

Definition of Midpoint

Which property is this: if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC

Segment Addition Postulate

Which property is this: the sum of two adjacent angle measures will be equal to the measure of the larger angle they form

Angle Addition Postulate

P ∧ Q

Conjunction

P ∨ Q

Disjunction

What does “∨” mean

“Or”

What does “∧” mean

“And”

P → Q

Conditional

\~P → \~Q

Inverse

Q → P

Converse

\~Q → \~P

Contrapositive

P

Bi-Conditional

P → Q

P

_______

∴ Q

Law of Detachment

P → Q

Q → R

_______

∴ P → R

Law of Syllogism

What formula is this?

Midpoint Formula