Geometry identify the property or postulate vocabulary Flashcards
Reflexive property
Segment AB = Segment AB or <ABC= <BCA
Subtraction property
If a=b, then a-c=b-c
Substitution property
If a=b a can replace b or b can replace a
Ex: x+y=10 and x=2, then 2+y=10
Ex: x+y=10 and y=x,then y+y=10
Linear pair theorem
If <A and <B are a linear pair, then <A and <B are supplementary
Complementary angles
<A+<B=90°
Congruent angles or segments
<A is congruent to <B, which means <A=<B or segment AB is congruent to segment CD, which means segment AB= segment CD
Theorem
Any statement you can prove
Multiplication property
If a=b, then a(c)=b(c)
Symmetric property
If segment AB is congruent to segment to CD, them segment CD is congruent to segment AB
Segment addition postulate
segment AB + segment CD = segment AD
Midpoint
Segment DE is congruent EF; E is the _______
Angle bisector
A ray that divides an angle into two congruent angles.
Postulate
A statement that is accepted as true without proof. Also called an axiom.
Division property
If a=b, then a/c=b/c when c doesn’t =0
Transitive property
If <A is congruent to <B and <B is congruent to <C, then <A is congruent to <C or if segment AB is congruent to segment CD and CD is congruent to segment EF, then segment AB is congruent to EF