proving triangles congruent
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Proving Triangles Congruent. Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints. F. B. A. C. E. D. Congruent Triangles. Two TRIANGLES with exactly the same size and shape. How much do you need to know. . . - PowerPoint PPT PresentationTRANSCRIPT
Proving Triangles Congruent
Proving Triangles Congruent
Powerpoint hosted on www.worldofteaching.comPlease visit for 100’s more free powerpoints
Two TRIANGLES with exactly the same size and shape.
Congruent Triangles
A C
B
DE
F
How much do you need to know. . .
. . . about two triangles to prove that they are congruent?
Corresponding Parts
ABC DEF
B
A
C
E
D
F
1. AB DE
2. BC EF
3. AC DF
4. A D5. B E6. C F
Do you need all six ?
NO !
SSSSASASAAAS
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
The angle between two sides
Included Angle
G I H
Name the included angle:
YE and ES
ES and YS
YS and YE
Included Angle
SY
E
E
S
Y
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 side:
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.