Question

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.

Answer 1

D) The quadrilaterals are not similar

Explanation:

The given parameters are;

In quadrilateral EFGH, the sides are;

`\overline {EF}` =
`\overline {HG}` = 8,
`\overline {EH}` =
`\overline {FG}` = 7

In quadrilateral QRST, the sides are;

`\overline {QR}` =
`\overline {ST}` = 32,
`\overline {QT}` =
`\overline {RS}` = 36

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

For the horizontal sides, we have;

`\overline {EF}`/
`\overline {QR}` = 8/32 = 1/4 = 0.25

For the inclined parallel sides, we have;

`\overline {EH}`/
`\overline {QT}` = 7/36 = 0.19
`\overline 4`

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.