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N76 [4]
3 years ago
15

Which postulate or theorem can be used to prove that △JKL is similar to △MKN?

Mathematics
2 answers:
irina [24]3 years ago
5 0

Answer:

The correct option is D.

Step-by-step explanation:

In triangle △JKL,

\frac{JK}{KL}=\frac{30}{50}=\frac{3}{5}

In triangle △MKN,

\frac{MK}{KN}=\frac{15}{25}=\frac{3}{5}

In triangle △JKL and △MKN

\frac{JK}{KL}=\frac{MK}{KN}

\angle JKL=\angle MKN                       (Vertically opposite angles)

Since two sides are proportional and an inclined angle is congruent, so by SAS theorem of similarity we get

\triangle JKL=\triangle MKN

Therefore option D is correct.

zheka24 [161]3 years ago
3 0
D) or SAS theorom hope this helps!
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