Question

Triangles ABC and DBC have side BC common, AB = CD and AC = DB.
Are the two triangles congruent?
State in symbolic form, which congruence do
Does ZABD equal ZACD? Why or why not?
you use?​

Answer 1

Answer:

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Answer 2

Answer:

Triangles ABC and DBC have side BC common, AB=BD and AC=CD.

So,

BC=BC⋯⋯[common side]

AB=BD⋯⋯[given]

AC=CD⋯⋯[given]

So, by SSS test we can say that,

ΔABC≅ΔDBC

Congruence condition used is SSS

Suppose congruent triangles are as shown as in the figure.

Then, ∠ABD



=∠ACD

Then they will not be equal.

Because , ∠ABD=∠ABC±∠DBC

and ∠ACD=∠ACB±∠DCB

From congruency, ∠ABC≅∠DBC and ∠ACB≅∠DCB

So, we cannot say that ∠ABD is equal to ∠ACD

solution

Step-by-step explanation:

thanks for the free point