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Determine whether quadrilateral EFGH is similar to quadrilateral QRST. If so, give the similarity statement.

Question options:
A) Impossible to determine.
B) The quadrilaterals are not similar.
C) QRST ∼ FEHG
D) QRST ∼ EFGH

B) The quadrilaterals are not similar

Step-by-step explanation:

The sides do not correspond and are not proportionate

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: