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

Answer:

D) The quadrilaterals are not similar

Step-by-step 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.