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Question

Two congruent triangles, upper A upper B upper C and upper Q upper R upper S are shown within an 11 column by 5 row grid. Angles upper B and upper R are marked congruent by double arcs. Sides upper B upper C and upper R upper S are labeled as 3 inches.

What other information is needed to prove △ABC≅△QRS by ASA Congruence Theorem?

(1 point)
Responses

∠C≅∠S
angle upper C congruent to angle upper S

AC¯¯¯¯¯¯¯¯≅QS¯¯¯¯¯¯¯
Modifying above upper A upper C with bar congruent to Modifying above upper Q upper S with bar

AB¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯
Modifying above upper A upper B with bar congruent to Modifying above upper Q upper R with bar

∠A≅∠Q
angle upper A congruent to angle upper Q
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Answer 1

To prove △ABC ≅ △QRS by the ASA (Angle-Side-Angle) Congruence Theorem, we need to establish the congruence of two angles and the included side between them. Since we already have ∠B ≅ ∠R and we know that side BC ≅ side RS (both equal to 3 inches), we need one more angle to complete the criteria for ASA.

Given the options provided, the most appropriate choice is:

∠A≅∠Q

This angle congruence, along with the already established angle congruence ∠B≅∠R and the congruence of the included side BC ≅ RS, will allow the application of the ASA Congruence Theorem.