What other information is needed to prove △ABC≅△QRS by ASA Congruence Theorem? (1 point) Responses ∠A≅∠Q angle upper A congruent to angle upper Q AB¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯ Modifying above upper A upper B with bar congruent to Modifying above upper Q upper R with bar ∠C≅∠S angle upper C congruent to angle upper S AC¯¯¯¯¯¯¯¯≅QS¯¯¯¯¯¯¯

Question

What other information is needed to prove △ABC≅△QRS by ASA Congruence Theorem? (1 point) Responses ∠A≅∠Q angle upper A congruent to angle upper Q AB¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯ Modifying above upper A upper B with bar congruent to Modifying above upper Q upper R with bar ∠C≅∠S angle upper C congruent to angle upper S AC¯¯¯¯¯¯¯¯≅QS¯¯¯¯¯¯¯

Answer 1

To prove △ABC≅△QRS by ASA Congruence Theorem, it is necessary to show that:

1) ∠A ≅ ∠Q (Angle A is congruent to angle Q)
2) AB ≅ QR (Side AB is congruent to side QR)
3) ∠C ≅ ∠S (Angle C is congruent to angle S)
4) AC ≅ QS (Side AC is congruent to side QS)

Without all four pieces of information, the congruence of the triangles cannot be proven by the ASA Congruence Theorem.