Question

Question

In order to prove that △ABC≅△QRS
using ASA, what OTHER information is needed?

(1 point)
Responses

∠A≅∠Q
∠A≅∠Q

AC¯¯¯¯¯¯¯¯≅ QS¯¯¯¯¯¯¯
AC¯¯¯¯¯¯¯¯≅ QS¯¯¯¯¯¯¯

∠C≅∠S
∠C≅∠S

AC¯¯¯¯¯¯¯¯≅ QS¯¯¯¯¯¯¯

Answer 1

To prove that △ABC is congruent to △QRS using the Angle-Side-Angle (ASA) criterion, you need to know two angles and the included side. Therefore, you need either:

1. The two angles (e.g., ∠A ≅ ∠Q and ∠C ≅ ∠S) along with the included side AC ≅ QS, or
2. The angle measures and the side measures that meet the criteria.

From the given options, you need either:

• ∠A ≅ ∠Q and AC ≅ QS, or
• ∠C ≅ ∠S and AC ≅ QS.

So, the correct additional information needed to use ASA is:

AC¯¯¯¯¯¯¯¯≅ QS¯¯¯¯¯¯¯ (the included side).