Congruent Triangles Day 1 Objective: Discover shortcuts for determining congruent triangles.
TechMathI - 4.3 - Using Congruent Triangles
Transcript of TechMathI - 4.3 - Using Congruent Triangles
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Bell RingerBell Ringer
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Angle – Side – Angle Postulate - If two angles and the included side of one
triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
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Angle-Side-Angle-Side-AngleAngle (ASA) (ASA)
1. A D
2. AB DE
3. B E
ABC DEF
B
A
C
E
D
F
included side
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The side between two angles
Included SideIncluded Side
GI HI GH
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Name the included side:
Y and E
E and S
S and Y
Included SideIncluded Side
SY
E
YE
ES
SY
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Angle – Angle – Angle Postulate
- If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
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Angle-Angle-Side (AAS)Angle-Angle-Side (AAS)
1. A D
2. B E
3. BC EF
ABC DEF
B
A
C
E
D
F
Non-included
side
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Warning:Warning: No SSA Postulate No SSA Postulate
A C
B
D
E
F
NOT CONGRUENT
There is no such thing as an SSA
postulate!
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Warning:Warning: No AAA Postulate No AAA Postulate
A C
B
D
E
F
There is no such thing as an AAA
postulate!
NOT CONGRUENT
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Name That PostulateName That Postulate
SASSASASAASA
SSSSSSSSASSA
(when possible)
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Let’s PracticeLet’s PracticeIndicate the additional information needed to enable us to apply the specified congruence postulate.
For ASA:
For SAS:
B D
For AAS: A F
AC FE
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You try!You try!Indicate the additional information needed to enable us to apply the specified congruence postulate.
For ASA:
For SAS:
For AAS:
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