Question

Select the reasons

options for #3
- definition of a quadrilateral
- if two lines are parallel and cut by a transversal, then the alternate interior angles are congruent

options for #5
- ASA congruence property
- SAS congruence property
- definition of a quadrilateral

Answer 1

Explanation:

Givens:

• Parallelogram

• QR || TS

• QT || RS

• QS ≅ SQ

With that information, we can figure out the rest.

∠RQS≅∠TSQ and ∠QSR≅∠SQT --- these are alternate interior angles, on opposite sides of the transversal QS while between parallel lines

Finally, ΔQST≅SQR because of ASA.

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sorry that took so long, I severely overcomplicated things before seeing the simple solution