#### Geometry 8-25 - Vision Charter School

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Transcript Geometry 8-25 - Vision Charter School

are two line that
intersect to form right angles
of a segment is a line,
segment or ray that is perpendicular to a
segment at its midpoint
is a ray that divides an angle
into two congruent angles
Deductive
Reasoning is a process of reasoning
logically from given facts to a conclusion.
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 ac = bc
Division
Property of equality
if a=b then a/c = b/c c≠0
Substitution
Property– if a=b, then b can
replace a in any expression
Distributive
Reflexive
Property – a(b+c) = ab + ac
Property AB = AB
Symmetric Property if AB = CD then CD = AB
Transitive Property if AB = CD & CD = EF then
AB = EF
Draw
two intersecting lines.
Fold the sides of <1 onto <2. What do you
notice?
Fold the sides of <3 onto <4. what do you
notice?
Make a conjecture about the angles formed
by two intersecting lines.
1
3
4
2
1
3
4
2
Vertical
angles – two whose sides are
opposite rays.
Adjacent angles – two coplanar angles with a
common vertex, no common interior points.
Complementary
angles – two angles , the sum
of whose measure is 90.
Supplementary angles – two angles, the sum
of whose measures is 180.
Vertical
Angles Theorem – Vertical angles
are congruent.
Congruent
Supplements Theorem – If two
angles are supplements of congruent angles
(or of the same angle), then the two angles
are congruent.
Congruent
Complements Theorem – If two
angles are complements of congruent angles
(or of the same angle, then the two angles
are congruent.