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What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

Answer :

Condition that are used to prove the triangle congruent using the sas congruence.

  • ∠ACB = ∠ACD
  • AC=AC
  • BC=CD

Given that,

We have to find the condition that are used to prove the triangle congruent using the sas congruence.

We note that the AC side length of the ABC triangle and the ADC triangle are identical. As a result, we are aware that AC=AC is reflexive.

Since BC=CD, the triangle's base has the same length.

We require the additional data, specifically AC ⊥ BD, in order to demonstrate the congruence of the triangles using the SAS congruence postulate. So, we obtain that ACB = ACD = 90°.

Conclusions drawn from this issue for the SAS Congruent Postulate:

  • ∠ACB = ∠ACD
  • AC=AC
  • BC=CD

The SAS (Side-Angle-Side) postulate for congruent triangles states that a triangle's two sides and included angle are congruent with another triangle's two sides and included angle and that the included angle accurately represents the angle created by two sides.

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