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Proving Congruent Triangles
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Geometry
Triangles
Proving Congruent Triangles
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Proving Congruent Triangles 1.1 - Solution
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Return to Proving Congruent Triangles
We are told that
△
A
C
D
≅
△
A
C
B
.
Therefore, they have
congruent
corresponding parts.
We see above that
∠
D
A
C
≅
∠
B
A
C
.
Therefore, both angles have the same measure.
m
∠
D
A
C
=
m
∠
B
A
C
Let's substitute
m
∠
D
A
C
=
6
x
and
m
∠
B
A
C
=
3
0
in the above equation, and solve for
x
.
m
∠
D
A
C
=
m
∠
B
A
C
SubstituteII
m
∠
D
A
C
=
6
x
,
m
∠
B
A
C
=
3
0
6
x
=
3
0
DivEqn
LHS
/
6
=
RHS
/
6
x
=
5