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…

Question

asked Jul 19, 2020 201k views

2 Answers

Raunaq · Answer 1 · 2020-07-26T02:06:01+0000

Answer:

$\triangle ABC \cong \triangle ADC$ 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,

$\triangle ABC \cong \triangle ADC$