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Transcript
Section 4.5 ~ ASA and AAS
Topics in this lesson:
• Angle­Side­Angle (ASA)
• Angle­Angle­Side (AAS)
These are the final ways to prove that triangles are congruent. No... ASS and AAA are not ways to prove triangles congruent!
Vocabulary
included side ­ the side connecting the vertices of two angles in a polygon
non­included sides
Angle­Side­Angle Congruence Postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
*Watch the placement of the side. That will be the only way to tell the difference between the two of these.
Angle­Angle­Side Congruence Theorem
If two angles and a non­included side of one triangle are congruent to two angles and the corresponding non­included side of a second triangle, then the two triangles are congruent.
Example 1
Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use.
Example 2
Can STW and VWT be proven congruent? If so, state the reason you would use.
Example 3
and BFD
1. 1. Given
.
Example 4
1. 1. Given
.