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Parallelogram RSTU is shown.
Ilan needs to prove that segment RS ≅ segment TU and segment RU ≅ segment TS. His proof is shown in the table below.

Step Statement
1 RSTU is a parallelogram
2 Side RS || Side TU and Side RU || Side TS
3 ∠RSU≅∠TUS and ∠RUS≅∠TSU
4 Side SU ≅ Side US
5 ΔRSU≅ΔTUS
6 Side RS ≅ Side TU and Side RU ≅ Side TS

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

-symmetric property
-opposite sides of a parallelogram are congruent
-alternate interior angles are congruent
-corresponding parts of congruent triangles are congruent
-definition of a parallelogram

Parallelogram RSTU is shown Ilan needs to prove that segment RS segment TU and segment RU segment TS His proof is shown in the table below Step Statement 1 RSTU class=

Respuesta :

mhanifa

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

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