Question

Are triangles ABC and ADC congruent? triangles ABC and ADC share segment AC, triangle ABC has one dash on side AB and two dashes on side BC, triangle ADC has one dash at side AD and two dashes on side DC

Yes, by SSS
Yes, by ASA
Yes, by SAS
Not enough information

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Answer 1

Yes, by SSS

Explanation:

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Answer 2

`\triangle ABC \cong \triangle ADC` by SSS rule.

Explanation:

We are given the following information in the question:

We have to prove congruency of two triangles.

In ΔABC and ΔADC

AC = AC (common side)

AB = BC (given)

AD = CC (given)

Hence, by SSS rule of congruence, the two triangles are congruent.

Hence,

`\triangle ABC \cong \triangle ADC`