In the diagram above, △ABC ≅△BAD . If AC=8 m and AB=17 m, how long is AD¯¯¯¯¯¯¯¯? (1 point) Responses 20 m 20 m 15 m 15 m 17 m 17 m 19 m

Answer 1

Since triangles \( \triangle ABC \) and \( \triangle BAD \) are congruent (i.e., \( \triangle ABC \cong \triangle BAD \)), their corresponding sides are equal.

Given:

• \( AC = 8 , \text{m} \)
• \( AB = 17 , \text{m} \)

From the congruence:

• \( AB \) in triangle \( ABC \) corresponds to \( AD \) in triangle \( BAD \).

Thus:

• \( AD = AB = 17 , \text{m} \)

Therefore, the length of \( \overline{AD} \) is \( \boxed{17 , \text{m}} \).