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

$\overline{EF}\cong\overline{US}$, $\overline{FG}\cong\overline{ST}$, $\overline{EG}\cong\overline{UT}$ (assume these are given or can be deduced from markings)

Step2: Apply SSS congruence criterion

Since all three pairs of corresponding sides of $\triangle EFG$ and $\triangle UST$ are congruent, $\triangle EFG\cong\triangle UST$ by SSS (Side - Side - Side) congruence postulate.

Step3: Use CPCTC

Corresponding parts of congruent triangles are congruent (CPCTC). So, $\angle E\cong\angle U$.

Answer:

First, state side - congruence statements like $\overline{EF}\cong\overline{US}$, $\overline{FG}\cong\overline{ST}$, $\overline{EG}\cong\overline{UT}$ with reason "Given" or based on markings. Then state $\triangle EFG\cong\triangle UST$ with reason "SSS". Finally, state $\angle E\cong\angle U$ with reason "CPCTC".