Download Congruent Triangles Graphic Organizer

Accelerated Geometry
Geometry Prerequisite Notes
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Congruent Triangles Vs. Similar Triangles Graphic Organizer
Congruent Triangles (  )
Having the same size and shape. All
corresponding parts are equal.
Similar Triangles ( )
Having the same shape, but not necessarily the same
size. All corresponding angles are equal and
corresponding sides are proportional.
Geometric Transformations
Isometries
DilationTranslation, Reflection, Rotation
Transformation that changes the size of a figure, but not
the shape.
(x, y)
(kx, ky)
k is called the scale factor.
Proving Triangles Congruent and Similar
Term/
Definition/Explanation
Term/
Definition/
Diagram
Postulate
Postulate
Explanation
If 3 sides of 1 triangle are
If the three sides
congruent to 3 sides of
of one triangle
Side – Side another triangle, then the 2
are proportional
Side – Side Side
triangles are congruent.
to the three
Side
SSS
corresponding
sides of another
SSS

triangle, then the
ABC  DEF
triangles are
similar
If 2 sides and the included
If two sides of one
angle of one triangle are
triangle are
congruent to 2 sides and the
proportional to
Side-Angle-Side
included angle of another
two sides of

Side-Angle-Side
SAS
triangle, then the 2
another
triangle

SAS
triangles are congruent.
and their included
ABC  DEF
angles are
congruent, then
the triangles are
similar.
If 2 angles and the included
If two angles of
side of one triangle are
one triangle are
congruent to 2 angles and
congruent to two
Angle – Side the included side of another
angles
of another
ABC  DEF
Angle- Angle
Angle
triangle, then the 2
triangle, then the
AA
triangles are congruent.
triangles are
ASA
similar.
Angle-AngleSide
AAS
If 2 angles and one nonincluded side of one triangle
are congruent to 2 angles
and one non-included side
of another triangle, then
the 2 triangles are
congruent.
Vocabulary
Word
Complmentary Angles
Linear Pair
Vertical Angles
Adjacent Angles
Alternate Interior Angles
Corresponding Angles
Alternate Exterior Angles
Triangle Angle Sum Theorem
Exterior Angle Theorem
Scalene Triangle
Isosceles Triangle
Angle Bisectors
Incenter
Medians
Centroid
Midsegment Theorem
Definition/Rule
Illustration/Example