blue – 3/2/2015 gold – 3/3/2015. bell ringer: finish the two-column proof. prove:Δlmn Δpon 2....
TRANSCRIPT
Congruence – SSS SAS
Blue – 3/2/2015Gold – 3/3/2015
Bell Ringer:
Finish the two-column proof.
Prove: ΔLMN ΔPON
2. LNM PNO 2. _________________
Statements Reasons
3. M O
3. _________________
4. ΔLMN ΔPON
4. ___________
1. _________________1.
Two geometric figures with exactly the same size and shape.
A C
B
DE
F
The Idea of Congruence
How much do you need to know. . .
. . . about two triangles to prove that they are congruent?
ABC DEF
B
A C
E
D
F
1. AB DE
2. BC EF
3. AC DF
4. A D5. B E6. C F
Corresponding parts
In the last lesson, you learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent
NO !
SSSSASASAAAS
Do you need all six?
1. AB DE
2. BC EF
3. AC DF
ABC DEF
B
A
C
E
D
F
Side-Side-Side (SSS)
1. AB DE
2. A D
3. AC DF
ABC DEF
B
A
C
E
D
F
included angle
Side-Angle-Side (SAS)
The angle between two sides
Included Angle is
G I H
SAS
Name the included angle:
YE and ES
ES and YS
YS and YE
Included Angle
SY
E
E
S
Y
SAS
Practice
SAS
SSS
SAS
SAS
Ticket Out