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Determine whether quadrilateral EFGH is similar to quadrilateral QRST. If so, give the similarity statement. (ASAP PLS HELP!! no spam pls)

A)
QRST ∼ EFGH

B)
QRST ∼ FEHG

C)
Impossible to determine.

D)
The quadrilaterals are not similar.

Determine Whether Quadrilateral EFGH Is Similar To Quadrilateral QRST If So Give The Similarity Statement ASAP PLS HELP No Spam Pls A QRST EFGH B QRST FEHG C Im class=

Sagot :

Answer:

D) The quadrilaterals are not similar

Step-by-step explanation:

The given parameters are;

In quadrilateral EFGH, the sides are;

[tex]\overline {EF}[/tex] = [tex]\overline {HG}[/tex]  = 8, [tex]\overline {EH}[/tex]  = [tex]\overline {FG}[/tex] = 7

In quadrilateral QRST, the sides are;

[tex]\overline {QR}[/tex] = [tex]\overline {ST}[/tex]  = 32, [tex]\overline {QT}[/tex]  = [tex]\overline {RS}[/tex] = 36

The ratio of the lengths of the corresponding parallel sides on quadrilaterals EFGH and QRST are;

For the horizontal sides, we have;

[tex]\overline {EF}[/tex]/[tex]\overline {QR}[/tex] = 8/32 = 1/4 = 0.25

For the inclined parallel sides, we have;

[tex]\overline {EH}[/tex]/[tex]\overline {QT}[/tex] = 7/36 = 0.19[tex]\overline 4[/tex]

Therefore, given that the ratio of the corresponding sides on quadrilaterals EFGH and QRST are not equal, we have;

The quadrilaterals (EFGH and QRST) are not similar.

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