Question

solve for x.
find the missing length indicated.
state if the triangles in each pair are similar. if so, state how you complete the similarity statement.
11)
△lkj ~ ______
a) similar; sss similarity; △gfe
b) not similar
c) similar; sas similarity; △gef
d) similar; sss similarity; △feg

Explanation:

Step1: Check the ratio of sides

For \(\triangle LKJ\) and \(\triangle GEF\), \(\frac{44}{33}=\frac{4}{3}\), \(\frac{47}{36}
eq\frac{4}{3}\)

Step2: Check similarity criteria

Since the ratios of the corresponding sides are not equal (SSS similarity fails as \(\frac{LK}{FE}=\frac{47}{36}\), \(\frac{KJ}{EG}\) is not in the same ratio as \(\frac{LJ}{GF}\) (if we assume sides), and SAS similarity also fails as the included - angle condition is not met in a proper ratio - side - ratio sense here.

Answer:

B. not similar