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Transcript
ASA AAS Congruence.notebook
February 01, 2017
1.
Angle­Side­Angle (ASA) and Angle­Angle­Side (AAS) Congruence
Warm Up
1/31/17
2.
3.
Jan 31­10:04 AM
Nov 4­10:56 AM
Included side ­ the side between two angles of a triangle.
Is this an example of AAS or ASA?
Included side
Angle­Side­Angle (ASA) 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.
Angle­Angle­Side (AAS) Theorem
If two angles and a non­included side of one triangle are congruent to two angles and the corresponding non­
included side of a second triangle, then the triangles are congruent.
Nov 4­10:58 AM
Nov 4­11:03 AM
1
ASA AAS Congruence.notebook
February 01, 2017
Congruence Summary:
1. 3 sets of angles and 3 sets of sides
a. SSS ­ 3 sets of sides only
b. SAS ­ 2 sets of sides with included angles
c. HL ­ right triangle + hypotenuse set and leg set
d. ASA ­ 2 sets of angles with included sides
e. AAS ­ 2 sets of angle with a side NOT between angles
2. Writing Statements ­ make sure the letters correspond correctly. a. Use statements to match letters to find corresponding sides. Nov 4­11:04 AM
Nov 4­11:05 AM
2