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.

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oeerivona oeerivona · Answer 1 · 2021-05-12T02:46:58+02:00

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.