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STUV is a parallelogram.STSZ = 5VT = 14NUZU =SU =VZ=ZT=Blank 1:Blank 2:Blank 3:Blank 4:

STUV is a parallelogram.STSZ = 5VT = 14NUZU =SU =VZ=ZT=Blank 1:Blank 2:Blank 3:Blank-example-1
User Darlene
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1 Answer

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Diagonals of a Parallelogram

Given the parallelogram STUV, it can be proven that the diagonals VT and SU bisect each other, that is, they define a point Z where:

SZ = ZU

VZ = ZT

We are given the following lengths:

SZ = 5

VT = 14

Since:

SZ = ZU

It follows that:

ZU = 5

The total length of the diagonal VT is cut in half by point Z, which defines the lengths:

VZ = 14/2 = 7

ZT = VZ = 7

Finally, since SU is the total length of the diagonal, then:

SU = SZ + ZU = 5 + 5 = 10

Summarinzing:

ZU = 5

SU = 10

VZ = 7

ZT = 7

User Blingers
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