math 1 february 27 th turn in homework – page 34
TRANSCRIPT
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Math 1February 27th
Turn in homework – page 34• Warm-up: Copy and complete the following
To use the SSS postulate to show ∆ABC ∆EFG, the following must be true:
Turn in warm-ups today. Make sure each day is separated from the
next.
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Proving Triangles Congruent
Proving Triangles Congruent
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Two TRIANGLES with exactly the same size and shape.
Congruent Triangles
A C
B
DE
F
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Side-Side-Side (SSS)
1. AB DE
2. BC EF
3. AC DF
ABC DEF
B
A
C
E
D
F
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Side-Angle-Side (SAS)
1. AB DE
2. A D
3. AC DF
ABC DEF
B
A
C
E
D
F
included angle
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Angle-Side-Angle (ASA)
1. A D2. 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 Side
GI HI GH
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Name the included angle:
Y and E
E and S
S and Y
Included Side
SY
E
YE
ES
SY
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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: 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: No AAA Postulate
A C
B
D
E
F
There is no such thing as an AAA
postulate!
NOT CONGRUENT
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The Congruence Postulates
SSS correspondence
ASA correspondence
SAS correspondence
AAS correspondence
SSA correspondence
AAA correspondence
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Name That Postulate
SASASA
SSSSSA
(when possible)
1.2.
3.4.
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Name That Postulate(when possible)
ASA
SAS
AAA
SSA
5.6.
7.8.
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Name That Postulate(when possible)
SAS
SAS
SAS
Reflexive Property
Vertical Angles
Vertical Angles
Reflexive Property SS
A
9.10.
11. 12.
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HW: Name That Postulate(when possible)
13.14.
15.16.
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(when possible)HW: Name That Postulate
17.18.
19.
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Let’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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HWIndicate the additional information needed to enable us to apply the specified congruence postulate.
For ASA:
For SAS:
For AAS:
20.
21.
22.
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HOMEWORK• COMPLETE PAGE 35 (ALL)
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