R llan needs to prove that RS = TUand RU = TS. His proof is shown in the table below. Step Statement 1 RSTU is a parallelogram RS is parallel to TU and RU is parallel to TS 3 ZRSU = LTUS and ZRUS = LTSU 4 SU = US ARSU = ATUS RS = TU and RU = TS Select all reasons that support one or more statements in the proof. d. Corresponding parts of congruent triangles are congruent e. If two parallel lines are cute by a transversal, alternate interior angles are congruent b. Definition of a parallelogram c. Opposite sides of a parallelogram are congruent a. Symmetric Property 2.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Parallelogram RSTU is shown below.
R
llan needs to prove that RS = TUand
RU = TS. His proof is shown in the table
below.
Step
Statement
1
RSTU is a parallelogram
RS is parallel to TU and RU is parallel
2
to TS
3
ZRSU = LTUS and ZRUS = LTSU
4
SU = US
5
ARSU = ATUS
RS = TU and RU = TS
Select all reasons that support one or more
statements in the proof.
d. Corresponding parts of congruent triangles are congruent
e. If two parallel lines are cute by a transversal, alternate interior angles are congruent
b. Definition of a parallelogram
c. Opposite sides of a parallelogram are congruent
a. Symmetric Property
CO
Transcribed Image Text:Parallelogram RSTU is shown below. R llan needs to prove that RS = TUand RU = TS. His proof is shown in the table below. Step Statement 1 RSTU is a parallelogram RS is parallel to TU and RU is parallel 2 to TS 3 ZRSU = LTUS and ZRUS = LTSU 4 SU = US 5 ARSU = ATUS RS = TU and RU = TS Select all reasons that support one or more statements in the proof. d. Corresponding parts of congruent triangles are congruent e. If two parallel lines are cute by a transversal, alternate interior angles are congruent b. Definition of a parallelogram c. Opposite sides of a parallelogram are congruent a. Symmetric Property CO
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