quiz 2 Flashcards
For any segment AB, AB(with the line on top) is congruent to AB(with the line on top)
Reflexive Property of Congruence
Reflexive Property of Congruence
For any segment AB, AB(with the line on top) is congruent to AB(with the line on top)
Symmetric Property of Congruence
AB(w line on top) is congruent to CD(w line on top), then CD(w line on top) is congruent to AB(w line on top)
AB(w line on top) is congruent to CD(w line on top), then CD(w line on top) is congruent to AB(w line on top)
Symmetric Property of Congruence
AB(w line on top) congrunet to CD(w line on top) and CD(w line on top) congruent to EF(wlot) then AB(wlot) congruent to EF(wlot)
Transitive Property of Congruence
If AB(wlot) congruent to CD(wlot) then AB = CD
if AB = CD then AB(wlot) congruent to CD(wlot)
Def of Congruence
AM = MB
Def of midpoint
AB + BC = AC
Segment Addition Postulate
m∠A = m∠B ↔ ∠A ≅ ∠B
Definition of Congruence
An angle bisector divides an angle into two equal parts.
Def of Angle bisector
Complementary ↔ Sum is 90°
Def of Complementary Angles
Supplementary ↔ Sum is 180°
Def of Supplmentay anges
Perpendicular lines from right angles
Def of perpendiular
A right angle = 90 degrees
def of a right angle
m∠ABD + m∠DBC = m∠ABC
angle addition postulate
If two angles are vertical then they are congruent
Vertical angles theorem
If two angles form a right angle,
then they are complementary.
Right Angle → Complementary
complement theorem
If two angles form a linear pair,
then they are supplementary.
Linear pair → Supplementary
Supplement theorem
If ∠A is complementary to ∠B and ∠C
is complementary to ∠B, then ∠A ≅ ∠C
Congruent Complements theorem
If ∠A is supplementary to ∠B and ∠C
is supplementary to ∠B, then ∠A ≅ ∠C
Congruent Supplements Theorem
Addition Property of Equality
if a = b then a + c = b + c
Subtraction Property of Equality
if a = b then a - c = b - c
Multiplication Property of Equality
if a = b then a(c) = b(c)
Division property of equality
if a = b then a/c = b/c
distributive property
if a(b+c) then a(b+c) = AB + AC
substitution Property
if A = B then a may be replaced by b in any expression or equation
Reflexive Property
for any real number a, a = a
symmetric Property
if a = b then b = a
Transitive Property
if a = b and b = c then a =c
