math 1 february 27 th turn in homework – page 34
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Math 1 February 27 th 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. - PowerPoint PPT PresentationTRANSCRIPT
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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
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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 DE2. BC EF3. AC DF
ABC DEF
B
A
C
E
D
F
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Side-Angle-Side (SAS)
1. AB DE2. A D3. AC DF
ABC DEF
B
A
C
E
D
F
included angle
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Angle-Side-Angle (ASA)
1. A D2. AB DE3. B E
ABC DEF
B
A
C
E
D
F
Included
side
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The side between two anglesIncluded 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
YEESSY
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Angle-Angle-Side (AAS)
1. A D2. B E3. 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
SAS ASA
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 Postulate17. 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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