A partial proof was constructed given that MNOP is a parallelogram. Which statement should fill in the blank in the last line of the proof? By the definition of a parallelogram, MN PO and MP| NO. ZM is supplementary to 20 ZN is supplementary to P Using MP as a transversal, zM and ZP are same-side interior angles, so they are supplementary. ZM ZP O ZN E ZP Using NO as a transversal, zN and 20 are same-side interior angles, so they are supplementary. Using OP as a transversal, 20 and ZP are same-side interior angles, so they are supplementary. Therefore, because they are supplements of the same angle.

A partial proof was constructed given that MNOP is a parallelogram. Which statement should fill in the blank in the last line of the proof? By the definition of a parallelogram, MN PO and MP| NO. ZM is supplementary to 20 ZN is supplementary to P Using MP as a transversal, zM and ZP are same-side interior angles, so they are supplementary. ZM ZP O ZN E ZP Using NO as a transversal, zN and 20 are same-side interior angles, so they are supplementary. Using OP as a transversal, 20 and ZP are same-side interior angles, so they are supplementary. Therefore, because they are supplements of the same angle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

A partial proof was constructed given that MNOP is a
parallelogram.
Which statement should fill in the blank in the last line
of the proof?
By the definition of a parallelogram,
MN PO and MP| NO.
ZM is supplementary to 20
ZN is supplementary to P
Using MP as a transversal, zM and
ZP are same-side interior angles, so
they are supplementary.
ZM ZP
O ZN E ZP
Using NO as a transversal, zN and
20 are same-side interior angles, so
they are supplementary.
Using OP as a transversal, 20 and
ZP are same-side interior angles, so
they are supplementary.
Therefore,
because they are supplements of the
same angle.

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