Answer:
Explanation:
You want to know the postulate used to declare the triangles similar, and the corresponding similarity statement.
Side ratios
The side length ratios of the larger triangle are ...
45 : 63 : 90 = 5 : 7 : 10 . . . . . divide by 9
For the smaller triangle, they are ...
25 : 35 : 50 = 5 : 7 : 10 . . . . . divide by 5
The ratios of the three side lengths are the same, so the triangles are similar by the SSS postulate.
Similarity statement
One triangle is designated as ∆KLM. In terms of (reduced) ratio units, the sides in order are ...
KL = 10, LM = 7, MK = 5
The corresponding sides in the smaller triangle are ...
UT = 10, TS = 7, SU = 5
This means the similarity statement must be written as ...
∆KLM ~ ∆UTS . . . . . . matches the last choice
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Additional comment
It is generally helpful to list the sides in some recognizable order (here, longest to shortest) so that the correspondence is clear.
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