Geometry Postulates and Theorems for Proofs Flashcards
Segment Addition Postulate
If point B is between points A and C on a line, then AB + BC = AC
If point B is between points A and C on a line, then AB + BC = AC
Segment Addition Postulate
Angle Addition Postulate
If Point S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR
If Point S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR`
Angle Addition Postulate
Pythagorean Theorem
a^2 + b^2 = c^2
a^2 + b^2 = c^2
Pythagorean Theorem
a=a (P.O.E)
Reflexive P.O.E
Reflexive P.O.E
a=a (P.O.E)
Symmetric P.O.E
if a=b, then b=a (P.O.E)
if a=b, then b=a (P.O.E)
Symmetric P.O.E
if a=b, and b=c, then a=c (P.O.E)
Transitive P.O.E
Transitive P.O.E
if a=b, and b=c, then a=c (P.O.E)
if a=b, then b can be used in place of a
Substitution P.O.E
Substitution P.O.E
if a=b, then b can be used in place of a
y+2 = 7
y = 5
what P.O.E was used?
Subtraction P.O.E
Subtraction P.O.E
y+2 = 7
y = 5
what P.O.E was used?
