geometry terms 2

Inductive Reasoning

recognizing patterns and drawing conclusions

deductive reasoning

logically reasoning from given statements to get to a conclusion

Indirect proof

denies an idea and then attempts to show a contradiction

contrapositive

~q→~p

direct proof

starts with a given statement and argues a conclusion

biconditional

p→q PLUS if q→p EQUALS p iff q

converse

q→p

theorem

a statement that must be proved

postulate

statement accepted as true without proof

inverse

~p→~q

pythagorean theorem

the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides

triangle angle sum theorem

all angles of a triangle add up to 180

conditional statement

p→q

postulate 2

three non-colinear points make a plane

postulate 1

two points determine a line