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# Congruent Complements Theorem

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## Emily Hinshaw

on 12 December 2013

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#### Transcript of Congruent Complements Theorem

Right Angles Congruence Theorem
Definition: All
right angles
are
congruent

Congruent Complements Theorem
Definition: If two
angles
are complements of the same
angle
(or of
congruent

angles
), then the two
angles
are
congruent
Triangle
Sum
Theorem
Definition: The sum of the
interior angles
of any
triangle
is equal to 180 degrees
Base Angles Theorem
Definition: If two sides of a
triangle
are
congruent
, the
angles
opposite these sides are
congruent
.
SSS
Definition: If three sides of one
triangle
are
congruent
to three sides of another
triangle
, then the
triangles
are
congruent
.
AAS
Definition: If two
angles
and the non-included side of one
triangle
are
congruent
to the
corresponding parts
of another
triangle
, the
triangles
are
congruent
.
Geometry Vocab: Theorems #9-17
All references are highlighted in pink

Congruent Supplements Theorem
Definition: If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent
Exterior Angles Theorem
Definition: A measure of an
exterior angle
of a
triangle
is equal to the sum of the measures of the two non-adjacent
interior angles
.
SAS
Definition: If two sides and the included
angle
of one
triangle
are
congruent
to the
corresponding parts
of another
triangle
, the
triangles
are
congruent
.
ASA
Definition: If two
angles
and the included side of one
triangle
are
congruent
to the
corresponding parts
of another
triangle
, the
triangles
are
congruent
.
HL
Definition: If the
hypotenuse
and
leg
of one
right triangle
are
congruent
to the
corresponding parts
of another
right triangle
, the two
right triangles
are
congruent
.
Full transcript