Math Chapter 2

unproven statement based on observations

when you find a pattern in specific cases and then write a conjecture for the general case

specific case for which a conjecture is false

• logical statement that has 2 parts
• hypothesis
• conclusion

when conditional statement is proven

• switch original
• exchange hypothesis and conclusion

negative original

converse negative

when 2 statements are both true or both false

if two lines intersect to form a right angle

statement that contains if and only if

using facts, definitions, and laws of logic

the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point

logical argument that shows a statement is true

numbered statements and corresponding reasons that show an argument in a logical order

statement that can be proven

adding to 90

adding to one 180

mirror image

equals itself

chain rule

ex. a=b, b=c, so a=c