Transcript Parallel Lines and the Triangle Angle

Blue – 3/2/2015
Gold – 3/3/2015
Bell Ringer:
Finish the two-column
proof.
Prove: ΔLMN  ΔPON
Statements
Reasons
1.
1. _________________
2. LNM  PNO
2. _________________
3. M  O
3. _________________
4. ΔLMN  ΔPON
4. ___________
Two geometric figures with
exactly the same size and
shape.
F
B
A
C
E
D
How much do you
need to know. . .
. . . about two triangles
to prove that they
are congruent?

In the last lesson, you learned that if
all six pairs of corresponding parts
(sides and angles) are congruent,
then the triangles are congruent
1. AB  DE
2. BC  EF
3. AC  DF
4.  A   D
5.  B   E
6.  C   F
ABC   DEF
NO !
SSS
SAS
ASA
AAS
1. AB  DE
2. BC  EF
3. AC  DF
ABC   DEF
1. AB  DE
2. A   D
3. AC  DF
ABC   DEF
included
angle
Included Angle is
The angle between two sides
G
I
H
Included Angle
Name the included angle:
E
Y
S
YE and ES
E
ES and YS
S
YS and YE
Y
SAS
SSS
SAS
SAS