Question

prove ∠e≅∠u by filling out the flowchart below. for each box, choose a statement format from the dropdown menu. you will then be able to change the letters to match the diagram for this problem.

Explanation:

Step1: Identify congruent - side pairs

$EF = TU$, $FG=TS$, $GE = SU$ (Given from the markings on the diagram)

Step2: Apply SSS (Side - Side - Side) congruence criterion

Since all three pairs of corresponding sides of $\triangle EFG$ and $\triangle UTS$ are congruent, $\triangle EFG\cong\triangle UTS$ (SSS congruence criterion)

Step3: Use corresponding - parts of congruent triangles are congruent (CPCTC)

If $\triangle EFG\cong\triangle UTS$, then $\angle E\cong\angle U$ (CPCTC)

Answer:

$\angle E\cong\angle U$ is proved by first showing $\triangle EFG\cong\triangle UTS$ using SSS and then applying CPCTC.