Question

Select all reasons that support one or more statements in ghe proof.

Answer 1

B, C, D and E.

Step-by-step explanation:

The proof and reasons for each step is given below:

Step 1:

Statement: RSTU is a parallelogram.

Reason: Given

Step 2:

Statement: RS is parallel to TU and RU is parallel to TS

Reason: (B)Definition of a parallelogram

Step 3:

Statement: ∠RSU≅∠TUS and ∠RUS≅∠TSU.

Reason: (C)Alternate Interior angles are congruent

Step 4:

Statement: SU≅US.

Reason: (E)corresponding parts of congruent triangles are congruent.

Step 5:

Statement: Triangle RSU≅Triangle TUS.

Reason: AAS Congruence Theorem

Step 6:

Statement: RS≅TU and RU≅TS

Reason: (D)Opposite sides of a parallelogram are congruent.

The reasons that support the proof are B, C, D and E.