Determine whether the triangles are similar. if so, write a similarity statement and name the postulate ot theorem you used. if not, explain

 Explained.

Step-by-step explanation:  The explanations are as follows :

(7) Since GF is parallel to JK and FK and GJ are tranversals, so we have

∠GFK = ∠JKH,

∠FGK = ∠KJH (pairs of alternate interior angles) and

∠GKF = ∠JHK (vertically opposite angles).

Therefore, both the triangles are similar by AAA similarity rule.

(8) Here,

Since the ratio of the corresponding sides are not proportional, so the triangles are not similar.

(9) Here,

So, the triangles are similar by proportionality rule.

(10) Here,

Since all the ratios are not equal, so the triangles are not similar.

(11) Here , no angle of one triangle matches with the angle of the other triangle, so the given triangles are not similar.

(12) Here,

So, the triangles are similar by the proportionality rule.

Hence explained.

b) well because you get well

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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