Objectives:
To identify congruent overlapping triangles
To prove triangles congruent.
1) Separate and redraw the two OVERLAPPING
triangles.
2) Identify the overlapping triangles.
G
G
H
F
E
D
2) Δ DFG and Δ EHG.
Can you name the part that ΔDFG and ΔEHG share?
(HINT: Look at the PURPLE!)
<G<G
1) Separate, redraw, and CODE the two overlapping
triangles.
2) Identify the overlapping triangles.
Z
W
Y
X
W
X
2) ΔXWZ and ΔWXY
What part(s) do the triangles share?
They share the side WX. To write this in the form of a congruence
statement, you have to be careful HOW you order them.
Are the two triangles congruent? Why?
2) ΔXWZ  ΔWXY by ASA
Same thing: Redraw, code, name the overlapping triangles.
M
M
L
L
I
S
E
S
E
State the reason that these two triangles are
congruent. If not congruent, state not .
ΔSME  ΔELS by SAS
S
E
Assignment: A Worksheet!
(I knew that would make some
of you happy!)