jamiehprior1
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Which postulate or theorem can be used to prove that △JKL is similar to △MKN?

A. SSS ​Similarity Theorem ​

B. ASA ​Similarity Theorem ​

C. AA ​Similarity Postulate ​

D. SAS ​Similarity Theorem

Which postulate or theorem can be used to prove that △JKL is similar to △MKN? A. SSS ​Similarity Theorem ​ B. ASA ​Similarity Theorem ​ C. AA ​Similarity Postul class=

Answer :

D) or SAS theorom hope this helps!

Answer:

The correct option is D.

Step-by-step explanation:

In triangle △JKL,

[tex]\frac{JK}{KL}=\frac{30}{50}=\frac{3}{5}[/tex]

In triangle △MKN,

[tex]\frac{MK}{KN}=\frac{15}{25}=\frac{3}{5}[/tex]

In triangle △JKL and △MKN

[tex]\frac{JK}{KL}=\frac{MK}{KN}[/tex]

[tex]\angle JKL=\angle MKN[/tex]                       (Vertically opposite angles)

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

[tex]\triangle JKL=\triangle MKN[/tex]

Therefore option D is correct.

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