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Review the image and two-column proof below. Which of the following represents a valid reason for statement #2? opposite angles of a parallelogram are equal opposite sides of a parallelogram are equal all three faces are congruent both bases of the prism are congruent

Review the image and twocolumn proof below Which of the following represents a valid reason for statement 2 opposite angles of a parallelogram are equal opposit class=
Review the image and twocolumn proof below Which of the following represents a valid reason for statement 2 opposite angles of a parallelogram are equal opposit class=

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A valid reason is :opposite sides of a parallelogram are equal

Step-by-step explanation:

It is possible to notice that RUTS is a parallelogram where RU=TS and RS = UT.

When you introduce a diagonal RT you form triangles RUT and TSR.

∠URT = ∠STR ----alternate angles

∠UTR=∠SRT------alternate angles

RU║ST and RS║UT

RT=TR -----Common

ΔRUT ≡ ΔTSR by AAS theorem

hence RS=UT matching sides of congruent triangles

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Properties of a parallelogram : https://brainly.com/question/12780093

Keywords : proof, parallelogram, reason

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Answer:

opposite sides of a parallelogram are equal

Step-by-step explanation:

got it right on odyssey

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