In the figure shown, QRST is a parallelogram with W and V the midpoints of
sides OT and RS respectively. Explain why QW must be congruent to VS. Explain why QW must be parallel to Vs. Explain why QVSW must also be a parallelogram.

Question

07-04-2020
Mathematics

contestada

In the figure shown, QRST is a parallelogram with W and V the midpoints of
sides OT and RS respectively. Explain why QW must be congruent to VS. Explain why QW must be parallel to Vs. Explain why QVSW must also be a parallelogram.

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krikside krikside · Answer 1 · 2020-04-07T03:13:39+02:00

krikside krikside

07-04-2020

Answer:

b) Explain why QW must be parallel to VS.

QW is on line QT

VS is on line RS.

Line RS is Parallel to Line QT. So that means any lines on these lines are parallel as well. So QW and VS are parallel because they are on QT and RS.

c) Explain why QVSW must also be a parallelogram

In QVSW, QT and RS are parallel. So Are QV and WS. Since BOTH pairs of lines are parallel, this is a parallelogram.

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andromache andromache · Answer 2 · 2022-02-09T06:32:42+01:00

The reasons for QW must be congruent to VS, QW must be parallel to Vs, and QVSW must also be a parallelogram should be explained below:

Parallelogram:

1.

Since QRST is a parallelogram

W and V are midpoints QT and RS respectively

So,

Since QT=RS

[tex](1\div 2)\times QT=(1\div 2)\times RS[/tex]

Or QW=VS (3)

QW must be congruent to VS.

2.

QT//RS (from 1)

Or QW//VS (4)

So, it QW must be parallel to Vs

3.

In a quadrilateral, if any of the two opposite sides are both parallel and equal, so the quadrilateral is a parallelogram

Therefore, QVSW must also be a parallelogram.

Find out more information about the parallelogram here:

https://brainly.com/question/1563728?referrer=searchResults

In the figure shown, QRST is a parallelogram with W and V the midpoints ofsides OT and RS respectively. Explain why QW must be congruent to VS. Explain why QW must be parallel to Vs. Explain why QVSW must also be a parallelogram.​

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Parallelogram:

Otras preguntas

In the figure shown, QRST is a parallelogram with W and V the midpoints of
sides OT and RS respectively. Explain why QW must be congruent to VS. Explain why QW must be parallel to Vs. Explain why QVSW must also be a parallelogram.