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Math vocab (Proofs)

StatementReason
M is the Midpoint of seg. AB ----AM = MB Defintion of midpoint
M is the midpoint of seg. AB ----seg. AM ≅ seg. AB Midpoint theorem
seg. AB ≅ seg. XY -----AB = XY AB = XY -----seg. AB ≅ seg. XY Defintion of congruent segments
AC=AB+BC Segment Addition postulate
AB=CD CD=EF AB=EF Transitive property/congruence
AB=CD ----CD=AB Symetric property
AB=AB Reflexive property
m<4= 120 degrees m<2=m<4 ----m<2=180 degrees subsitution
<1≅<2 ----m<1=m<2 m<1=m<2 ----<1≅<2 Definition of congruent angles
m<ABC+m<CBD=m<ABD Angle Addition postulate
<1 and <2 are a linear pair ---<1 and <2 are supplementary Supplement theorem
<1 and <2 are supplementary ----m<1 + m<2 = 180 degrees m<1 + m<2 = 180 ----<1 and <2 are supplementary Defintion of supplementary
<1 and <2 are complementary ----m<1 + m<2 = 90 degrees m<1 + m<2 = 90 degrees ----<1 and <2 are complementary Defintion of Complementary
<A and <B are supplementary <B and <C are supplementary ----<A ≅ <C Congruent Supplement theorem
<A and <B are complementary <B and <C are complementary ----<A ≅ <C Congruent complement theorem
<A and <B are vertical angles ----<A ≅ <B Vertical angles are congruent
Line m perpendicualr line n ----<1 is a right angle Defintion of perpendicular
<X is a right angle ---m<X = 90 degrees Defintion of a right angle
<Y and <Z are right angles ----<Y ≅ <Z All right angles are congruent
Created by: kar0707
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