Question

1. can you use the sss postulate or the sas postulate to prove △fez≅△fgz? by sas only both apply by sss only neither apply

Explanation:

Step1: Identify equal - sides

From the figure, we have $FE = FG$ (single - cross markings), $EZ=GZ$ (double - cross markings), and $FZ$ is common to both $\triangle FEZ$ and $\triangle FGZ$. So, $FE = FG$, $EZ = GZ$, $FZ=FZ$.

Step2: Check SSS postulate

The SSS (Side - Side - Side) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Since $FE = FG$, $EZ = GZ$, and $FZ = FZ$, $\triangle FEZ\cong\triangle FGZ$ by SSS.

Step3: Check SAS postulate

The SAS (Side - Angle - Side) 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 are given the three sides, but we are not given any information about the included angles between the sides. So, we cannot use the SAS postulate.

Answer:

by SSS only