Unit 2 geometry

given 2 points A and C, a third point B lies on the line segment satisfies AB + BC = AC.

true statement that can be proven.

The part of a conditional statement after then.

multiple premises all beleved true/found true most of the time combined2obtain a set conclusion

If 2 angles are complementary to the same angle, then they are congruent to each other.

the opposite of a given mathematical statement

true when both of its combined parts are true; otherwise it is false.

an unproven statement which is supported by all the available data and by many weaker results.

A point, segment, line, or plane that divides a line segment into two equal parts.

Switching the hypothesis and conclusion of a conditional statement and negating both.

two angles side by side with their vertices together creates a new angle sum of original angles

true or false. A sentence of the form "If A then B" is true unless A is true and B is false.

opposite operations. Addition =subtraction; division=multiplication, and so on.

a statement that is assumed true without proof.

using two/more logic operations creating a truth table is a systematic way of determining T/F

pattern two true and a conclusion/pattern as shown below Statement 1:If p,then q. Statement 2:p

valid argument form of deductivereasoning that follows a set pattern.

statement which appears to be true, but has not been formally proven.

two segments that a triangle's side is divided into by a line that bisects the oppositeangle.

by p q is/if-then is defined to be true unless a true hypothesis leads to a false conclusion

Switching the hypothesis and conclusion of a conditional statement.

Because our conclusion is based on facts, the conclusions reached by

is false if and only if both statements are false; otherwise it is true.

special kind of example that disproves a statement or proposition.

Sometimes you need to find the point that is exactly between two other points.

If 2 angles are supplementary to the same angle, then they are congruent to each other.

p if and only if q, where p is antecedent and q is consequent.This is often abbreviated p if q.