Once a statement or conjecture has been proven, it is called a(n) _______, and it can be used as a reason to justify statements in other proofs.
A(n) _________ or axiom is a statement that is accepted as true without proof.
_____ Addition Postulate: D is in the interior of ∠ABC if and only if m∠ABD + m∠DBC = m∠ABC.
2.3 Supplement Theorem: If two angles form a(n) linear ____, then they are supplementary angles.
The Segment ________ Postulate is used as a justification in many geometric proofs.
2.4 Complement Theorem: If the noncommon sides of two ________ angles form a right angle, then the angles are complementary angles.
______ pair: a pair of adjacent angles with noncommon sides that are opposite rays
Paragraph proofs are also called ________ proofs.
The symbol ⊥ means 'is _____________ to.'
_____________ angles: two angles with measures that add to 180
_________ Property of Equality: AB = AB; m∠1 = m∠1
A two-column proof or ______ proof contains statements and reasons organized in two columns.
A(n) ___________ is a statement that makes an assertion that is either false or true.
__________ Property of Equality: If AB = CD and CD = EF, then AB = EF; If m∠1 = m∠2 and m∠2 = m∠3, then m∠1 = m∠3.
Postulate 2.5: If two points lie in a plane, then the ______ line containing those points lies in that plane.
A(n) _____ is a logical argument in which each statement you make is supported by a statement that is accepted as true.
One method of proving statements and conjectures, a(n) _________ proof, involves writing a _________ to explain why a conjecture for a given situation is true.
In Lesson 1-2, you measured segments with a(n) _____ by matching the mark for zero with one endpoint and then finding the number on the ruler that corresponded to the other endpoint. This illustrates the _____ Postulate.