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Warm-Up Exercises
Tell whether the pair of triangles is congruent or not
and why.
Bell Work
Warm-Up Exercises
Angle-Side-Angle (ASA) 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, than
the two triangles are congruent.
Notes
Warm-Up Exercises
Angle-Angle-Side (AAS) Congruence Theorem
If two angles and a non-included side of one triangle are
congruent to two angles and the corresponding non-included
side of a second triangle, then the two triangles are congruent.
Notes
Warm-Up ExercisesEXAMPLE 1 Identify congruent triangles
Can the triangles be proven congruent with the
information given in the diagram? If so, state the
postulate or theorem you would use.
Warm-Up ExercisesEXAMPLE 1 Identify congruent triangles
Can the triangles be proven congruent with the
information given in the diagram? If so, state the
postulate or theorem you would use.
Warm-Up ExercisesEXAMPLE 1 Identify congruent triangles
Can the triangles be proven congruent with the
information given in the diagram? If so, state the
postulate or theorem you would use.
Warm-Up ExercisesEXAMPLE 2 Prove the AAS Congruence Theorem
Prove the Angle-Angle-Side Congruence Theorem.
Write a proof.
GIVEN BC EFA D, C F,
PROVE ABC DEF
Warm-Up ExercisesGUIDED PRACTICE for Examples 1 and 2
1. In the diagram at the right, what
postulate or theorem can you use to
prove that RST VUT ? Explain.
Warm-Up ExercisesDaily Homework Quiz
Tell whether each pair of triangle are congruent by
SAS, ASA, SSS, AAS or HL. If it is not possible to prove
the triangle congruent, write not necessarily
congruent.
1.
Quick Check
Warm-Up ExercisesDaily Homework Quiz
Tell whether each pair of triangle are congruent by
SAS, ASA, SSS, AAS or HL. If it is not possible to prove
the triangle congruent, write not necessarily
congruent.
2.
Quick Check
Warm-Up Exercises
Quiz Topics• Classifying Triangles by Sides
• Classifying Triangles by Angles
• Triangle Sum Theorem (know proof)
• Congruent Triangles
• Congruent Figures and Rigid Motions (3)
• SSS, SAS, HL, ASA, AAS
For Tomorrow
Warm-Up Exercises
HomeworkHW: 4.6 (pg. 250-252) #3,5,23,24,26,27
Study for 4.1-4.6 Quiz
For Tomorrow