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24 Cards in this Set
- Front
- Back
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complementary angles
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angles whose measures add up to 90 degrees
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supplementary angles
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angles whose measures add up to 180 degrees
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ruler postulate
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the points on a line can be paired with the real #s in such a way that any 2 points can have 0 and 1
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angle
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figure formed by 2 rays that have the same endpoint
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vertex
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point where 2 lines in an angle meet
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Adding postulate
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if point B lies in the interior of AOC, the the m<AOB + m<BOC= m<AOC
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Angle Adding postulate
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if point B lies in the interior of <AOC then m<AOB + <BOC= mAOC
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adjacent angles
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2 angles in a plane that have a common vertex and a common side
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bisector of an angle
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the ray that divides the angle into 2 congruent angles
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Converse, ex
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formed by interchanging the hupothesis and conclusion
may or may not be true If Ed lives in TX then he lives south of Canada. If Ed lives south of Canada then he lives in TX |
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Counter Example
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example that makes the statement false
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biconditional
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a statement using the words "if and only if"
can be used when the conditional and its converse is true |
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addition property
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if a=b and c=d then a+c=b+d
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subtraction property
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if a=b and c=d then a-c =b-d
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multiplication property
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if a=b and c is not = to 0, then a/c=b/c
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division property
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if a=b and c isnt 0 then a/c=b/c
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real multiplication property
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if a=c and c=d then ca=cb
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substitution property
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if a=b, then either a or b may be substituted for the other in any equation (or inequality)
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reflexive property
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a=a
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symmetric property
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if a =b then b=a
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transitive property
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if a=b and b=c, then a=c
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distributive property
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a(b+c)=ab+ac
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vertical angles
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2 angles such that the sides of one angle are opposite rays to the sides of othe other angle
when 2 lines intersect, they form 2 pairs of vertical angles |
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perpendicular lines
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2 lines that intersect to form right angles, 90 degrees
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