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You are sketching a portrait of your friend.
You want the portrait to be symmetric in the
Use the information in the picture
line
AC
and the SAS Congruence Theorem to show
that AABC= AADC
DC B

You are sketching a portrait of your friendYou want the portrait to be symmetric in theUse the information in the picturelineACand the SAS Congruence Theorem to class=


Answer :

macaroni31

Answer and explanation:

The SAS Congruence Theorem is a theorem on triangle congruence which states that if two triangles have two congruent sides with a congruent angle between them, then the two triangles are congruent.

To prove ΔABC ≅ ΔADC, let's use the SAS Congruence Theorem.

  1. Statement: AC = AC
    Reason: Reflexive Property
  2. Statement: DC = CB
    Reason: given
  3. Statement: ∠ACB is a right angle
    Reason: given
  4. Statement: ∠ACD is a right angle
    Reason: supplementary angle to a right angle must be a right angle
  5. Statement ∠ACB = ∠ACD
    Reason: all right angles are congruent
  6. Statement: ΔABC ≅ ΔADC
    Reason: SAS Congruence Theorem

Because we were able to prove that  ΔABC and ΔADC have two congruent sides and one congruent angle, we can say that the two triangles are congruent.

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