Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
22 Cards in this Set
 Front
 Back
What is a conditional statement?

A pair of related statements used to draw conclusions


What is a converse?

Formed by interchanging the hypothesis and conclusion.
b>a The statement may be true or false. 

What is a contrapositive?

Formed by interchanging its hypothesis and conclusion and denying both.
not b>not a The statement is always true. 

What is an inverse?

Formed by denying both its hypothesis and conclusion.
not a>not b 

When is a statement not valid?

A statement is not valid when it is the converse or inverse of the first statement.


What is a statement valid?

A statement is valid when it is the contrapositive of the first statement.


What are the premises?

The premises are all of the statements that come before the conclusion.


What is a syllogism?

A syllogism is a situation in which the conclusion of the first is the same as the hypothesis of the second.
a>b b>c 

What is a theorem?

A conclusion derived from a number of premises.


What is the midpoint theorem?

If M is midpoint of AB, then AM=1/2AB and MB=1/2AB


What is the angle bisector theorem?

If BX is bisector of angle ABC, then ABX=1/2ABC and XBC=1/2ABC


What are the reasons used in proofs?

1. Given information
2. Definitions 3. Postulates 4. Theorems that have already been proved 

What are complementary angles?

2 angles whose measures have the sum of 90 degrees


What are supplementary angles?

2 angles whose measures have the sum of 180 degrees


What are vertical angles?

2 angles such that the sides of one angle are opposite rays to the sides of the other angle. When two lines intersect, they form two pairs of vertical angles. (opposite angles)


What is theorem 23?

Vertical angles are congruent


What are perpendicular lines?

Two lines that intersect to form right angles


What is theorem 24?

If two lines are perpendicular, then they form congruent adjacent angles


What is theorem 25?

If two lines form congruent adjacent angles, then the lines are perpendicular


What is theorem 26?

If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.


What is theorem 27?

If two angles are supplements of congruent angles (or the same angle) then the two angles are congruent


What is theorem 28?

If two angles are complements of congruent angles (of the same angle), then the two angles are congruent
