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What additional information could be used to prove [tex]\triangle ABC \cong \triangle MQR[/tex] using SAS? Select two options.

Answer :

Final answer:

The additional information that could be used to prove δabc ≅ δmqr using SAS includes showing that side AB is congruent to side MQ, and side AC is congruent to side MR. Additionally, we need to show that the included angle ∠BAC is congruent to the included angle ∠QMR.

Explanation:

To prove δabc ≅ δmqr using SAS, we need to show that two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle.

The additional information that could be used to prove δabc ≅ δmqr using SAS includes:

  • Showing that side AB is congruent to side MQ
  • Showing that side AC is congruent to side MR

Additionally, we need to show that the included angle ∠BAC is congruent to the included angle ∠QMR.

By demonstrating these two sets of congruent sides and the included angle, we can prove that the triangles δabc and δmqr are congruent using the SAS congruence postulate.

Learn more about proving congruence using sas here:

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