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
12 Cards in this Set
 Front
 Back
The Exterior Angle Inequality Theorem

The measure of an exterior angle of a triangle is greater than the measure of either remote interior angle


Inverse/contrapositive

original if p then q
Inverse If not p, then not q Converse if not q, then not p 

Venn diagram

Circle diagram


logically equivalent

statements that are either both true or both false


How to write an indirect proof

1. Assume temporarily that the conclusion is not true
2. Reason logically until you reach a contradiction of a known fact 3. Point out that the temporary assumption must be false and that the conclusion must then be true 

Theorem

If one side of a triangle is longer than a second side, then the angle oppostire the first side is larger than the angle opposite the second side


Theorem

If one angle of a triangle is larger than a second angle, then the side oppostire the first angle is longer than the side opposire the second angle


Corollary

The perpendicular segment from a point to a line is the shortest segment from the point to the line


Corollary

The perpendicular segment from a point to a plane is the shortest segment from the point to the plane


Triangle Inequality Theorem

THe sum of the lengths of any two sides of a triangle is greater than the length of the third side


SAS Inequality Theorem

if two triangles have 2 congruent sides but the included angle of one is larger than the other, then the third side of the larger one is longer than the third side of the smaller one


SSS Inequality Theorem

if two triangles have two congruent sides but the third side of one triangle is longer than the other, then the included angle of the larger triangle is larger than that of the smaller triangle
