Question

Which additional information is needed to prove A ADJ = APQR by the ASA trianglecongruence theorem

Answer 1

Step-by-step explanation:

We are given two triangles and they are described as congruent.

For two triangles to be congruent by the angle-side-angle theorem, then two corresponding sides and two corresponding angles will be congruent to each other.

Therefore, in these triangles given we shall identify which angles and included side meets this condition;

From the triangles given and the sides indicated, we can see that if angle J and angle R are congruent and angle angle A and angle P are also congruent, then the included sides that needs to be indicated are sides JA and RP. That is;

`\begin{gathered} \angle J\cong\angle R \\ \angle A\cong\angle P \\ Therefore; \\ JA\cong RP \end{gathered}`

Hence the additional information needed to prove triangle ADJ is congruent to triangle PQR by the ASA triangle congruence theorem is;

ANSWER:

`JA\cong RP`