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LEARNING GOAL
The student will understand how
to use relationships between
geometric shapes to calculate line
segment lengths, angle measures,
surface area and volume.
OBJECTIVE #1
The student will be able to indicate
if and why two triangles are
congruent with 80% accuracy.
VOCABULARY
Similar Triangles
• Definition: triangles that
have the same angle
measures and side lengths
that are all in the same ratio
• Example:
Congruent Triangles
• Definition: triangles that
have the same angle
measures and the same side
lengths
• Example:
VOCABULARY
• Corresponding Parts: the parts of two
triangles that are related
• Example:
ASA Theorem
Angle-Side-Angle: two triangles are
congruent if two angles and the
included side are the same in both
triangles.
SAS Theorem
Side-Angle-Side: two triangles are
congruent if two sides and the
included angle are the same in
both triangles.
SSS Theorem
Side-Side-Side: two triangles are
congruent if all three sides are the
same in both triangles.
AAS Theorem
Angle-Angle-Side: two triangles are
congruent if two angles and a side
(not the included side) are the
same in both triangles.
RHS Theorem
Right Angle-Hypotenuse-Side: two
right triangles are congruent if the
hypotenuse and one side are the
same in both triangles.
GUIDED PRACTICE
What theorem can we use to prove the
following triangles are congruent?