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Transcript
Warm-Up
Exercises
Bell Work
Tell whether the pair of triangles is congruent or not
and why.
Warm-Up
Exercises
Notes
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.
Warm-Up
Exercises
Notes
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.
Warm-Up1Exercises
EXAMPLE
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-Up1Exercises
EXAMPLE
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-Up1Exercises
EXAMPLE
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-Up2Exercises
EXAMPLE
Prove the AAS Congruence Theorem
Prove the Angle-Angle-Side Congruence Theorem.
Write a proof.
GIVEN
PROVE
A
D,
ABC
C
DEF
F, BC
EF
Warm-Up
Exercises
GUIDED
PRACTICE
1.
for Examples 1 and 2
In the diagram at the right, what
postulate or theorem can you use to
RST
VUT ? Explain.
prove that
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
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.
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
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.
Warm-Up
Exercises
For Tomorrow
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
Warm-Up
Exercises
For Tomorrow
Homework
HW: 4.6 (pg. 250-252) #3,5,23,24,26,27
Study for 4.1-4.6 Quiz