math 1 february 27 th turn in homework – page 34
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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.
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
Side-Side-Side (SSS)
1. AB DE
2. BC EF
3. AC DF
ABC DEF
B
A
C
E
D
F
Side-Angle-Side (SAS)
1. AB DE
2. A D
3. AC DF
ABC DEF
B
A
C
E
D
F
included angle
Angle-Side-Angle (ASA)
1. A D2. AB DE
3. B E
ABC DEF
B
A
C
E
D
F
Included
side
The side between two angles
Included Side
GI HI GH
Name the included angle:
Y and E
E and S
S and Y
Included Side
SY
E
YE
ES
SY
Angle-Angle-Side (AAS)
1. A D
2. B E
3. BC EF
ABC DEF
B
A
C
E
D
F
Non-included
side
Warning: No SSA Postulate
A C
B
D
E
F
NOT CONGRUENT
There is no such thing as an SSA
postulate!
Warning: No AAA Postulate
A C
B
D
E
F
There is no such thing as an AAA
postulate!
NOT CONGRUENT
The Congruence Postulates
SSS correspondence
ASA correspondence
SAS correspondence
AAS correspondence
SSA correspondence
AAA correspondence
Name That Postulate
SASASA
SSSSSA
(when possible)
1.2.
3.4.
Name That Postulate(when possible)
ASA
SAS
AAA
SSA
5.6.
7.8.
Name That Postulate(when possible)
SAS
SAS
SAS
Reflexive Property
Vertical Angles
Vertical Angles
Reflexive Property SS
A
9.10.
11. 12.
HW: Name That Postulate(when possible)
13.14.
15.16.
(when possible)HW: Name That Postulate
17.18.
19.
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
HWIndicate the additional information needed to enable us to apply the specified congruence postulate.
For ASA:
For SAS:
For AAS:
20.
21.
22.
HOMEWORK• COMPLETE PAGE 35 (ALL)
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