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¯¯¯¯¯¯¯

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

∠C≅∠S
∠C≅∠S
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Answer 1

To prove that triangles \( \triangle ABC \) is congruent to \( \triangle QRS \) using the Angle-Side-Angle (ASA) congruence criterion, you need to establish that two angles and the included side of one triangle are congruent to the corresponding two angles and the included side of the other triangle.

Assuming you already have:

• \( \angle A \equiv \angle Q \) (one pair of angles are congruent)
• \( \angle C \equiv \angle S \) (second pair of angles are congruent)

The additional information you need is that the side between these two angles is also congruent. Specifically, you would need:

• \( AC \equiv QS \)

So the correct choice would be:

AC ≅ QS

This ensures you have the conditions for applying the ASA criterion.