ASA and AAS

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ASA and AAS
What You'll Learn
You will learn to use the ASA and AAS tests for
congruency.
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ASA and AAS
The side of a triangle that falls between two
given angles is called the___________ of the
angles.
included side
It is the one side common to both angles.
You can show that two triangles are congruent by
using _________ and the ___________ of the
triangles.
two angles
included side
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ASA and AAS
included side
two angles
?C ?
?T
If ?A ?
?R and
then ?ABC
? ?RST
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ASA and AAS
You can show that two triangles are congruent by
using _________ and a ______________.
two angles
nonincluded side
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ASA and AAS
nonincluded side
two angles
?C ?
?T and
If ?A ?
?R and
then ?ABC
? ?RST
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ASA and AAS
?DEF and ?LNM have one pair of sides and one
pair of angles marked to show congruence.
What other pair of angles must be marked so that
the two triangles are congruent by AAS?
However, AAS requires the nonincluded sides.
Therefore, ?D and ?L must be marked.
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Homework
Page 217/ 4-23, 25-29