Question

Parallelogram RSTU is shown.

Answer 1

Answer:

• alternate interior angles are congruent
• corresponding parts of congruent triangles are congruent
• definition of a parallelogram

Step-by-step explanation:

Step Statement                                                  ⇒  Reason

1    RSTU is a parallelogram                              ⇒  Given

2   Side RS || Side TU and Side RU || Side TS  ⇒ definition of a parallelogram

3    ∠RSU≅∠TUS and ∠RUS≅∠TSU                 ⇒ alternate interior angles are congruent

4     Side SU ≅ Side US                                      ⇒ reflexive property

5    ΔRSU≅ΔTUS                                                 ⇒ ASA postulate

6    Side RS ≅ Side TU and Side RU ≅ Side TS ⇒ corresponding parts of congruent triangles are congruent

Answer 2

Answer:

-opposite sides of a parallelogram are congruent.

-definition of a parallelogram

- alternate interior angles are congruent

Step-by-step explanation:

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