Question

17 can you use the sss postulate or the sas postulate to prove △abc and △aed are congruent? neither apply both apply by sas only by sss only

Explanation:

Step1: Analyze the SSS (Side - Side - Side) Postulate

The SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
From the figure, we can see that \(AB = AE\), \(BC=ED\), and \(AC = AD\). So, by the SSS postulate, \(\triangle ABC\cong\triangle AED\).

Step2: Analyze the SAS (Side - Angle - Side) Postulate

The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
We know that \(AB = AE\), \(AC = AD\), and \(\angle BAC=\angle EAD\) (the angles between the pairs of congruent sides \(AB - AC\) and \(AE - AD\)). So, by the SAS postulate, \(\triangle ABC\cong\triangle AED\).

Answer:

both apply