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mylen [45]
3 years ago
12

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

Mathematics
1 answer:
34kurt3 years ago
6 0

Answer:

Triangle OMN and Triangle OJK are similar by SAS Theorem

Step-by-step explanation:

we know that

The<u> Side-Angle-Side (SAS) Similarity Theorem</u> states that- If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles must be similar.

In this problem we have

∠JOK≅∠MON

The corresponding sides including the congruent angle are

OK and ON

OJ and OM

Verify if the corresponding sides are proportional

\frac{OK}{ON}=\frac{OJ}{OM}

substitute the given values

\frac{21}{21+7}=\frac{33}{33+11}

\frac{21}{28}=\frac{33}{44}

21*44=33*28

924=924 -----> is true

therefore

Triangle OMN and Triangle OJK are similar by SAS Theorem

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