Answered

What other information do you need in order to prove the triangles congruent by SAS?
You can assume the segment AC is congruent to itself using the reflexive property.

What other information do you need in order to prove the triangles congruent by SAS You can assume the segment AC is congruent to itself using the reflexive pro class=


Answer :

sqdancefan

Answer:

  AB≅AD

Step-by-step explanation:

Given triangle ABD with angle bisector AC, you want to know what additional information is needed to show ∆ACB ≅ ∆ACD by SAS.

SAS

The SAS postulate tells you two triangles are congruent if two pairs of corresponding sides and the angle between them are congruent.

Application

Here, we are given side(s) AC and angles CAB and CAD as being congruent. The sides that make up the other side of each of these angles are sides AB and AD. These need to be shown congruent to make use of SAS.

  Needed: AB ≅ AD

__

With sides AB and AD congruent, we have in each triangle congruent corresponding Side, Angle, Side of

  • AB, ∠BAC, AC in ∆BAC
  • AD, ∠DAC, AC in ∆DAC

Other Questions