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Chapter 2-5 through 2-8 Vocabulary

Name:____________________________________
Date: ____________________________________
Block: ____________________________________
Across
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.
Down
Postulate 2.2: Through any three ____________ points, there is exactly one plane.
Postulate 2.4: A plane contains at least _____ noncollinear points.
If two angles are ________ angles, then they are congruent.
Vertical Angles: two ___________ angles formed by intersecting lines
A two-______ proof or formal proof contains statements and reasons organized in two ______s.
_______ is a system with sets of numbers, operations, and properties that allow you to perform algebraic operations.
Postulate 2.3: A line contains at least ___ points
A(n) _________ proof is a proof that is made up of a series of _________ statements.
_____________ angles: two angles with measures that add to 90
Postulate 2.7: If two planes intersect, then their intersection is a(n) ____.
The __________ Postulate illustrates the relationship between angle measures and real numbers.
Step 3 in The Proof Process says 'Create a(n) __________ argument by forming a logical chain of statements linking the given to what you are trying to prove.
_________ Property of Equality: If AB = CD, then CD = AB; If m∠1 = m∠2, then m∠2 = m∠1.
Postulate 2.6: If two lines intersect, then their intersection is exactly one _____.
Postulate 2.1: Through any two points, there is exactly ___ line.
A postulate or _____ is a statement that is accepted as true without proof.