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kondaur [170]
3 years ago
14

To prove that the triangles are similar by the SSS similarity theorem, which other sides or angles should be used? MN and SR MN

and QR ∠S ≅ ∠N ∠S ≅ ∠O

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
8 0

Answer:

The correct option is 2.

Step-by-step explanation:

In triangle MNO and QRS,

\frac{MN}{QR}=\frac{12}{48}=\frac{1}{4}

\frac{NO}{RS}=\frac{8}{32}=\frac{1}{4}

\frac{MO}{QS}=\frac{15}{60}=\frac{1}{4}

From the above information, we get

\frac{MN}{QR}=\frac{NO}{RS}=\frac{MO}{QS}=\frac{1}{4}

By SSS property of similarity

\triangle MNO\sim \triangle QRS

Since side MN and QR is used to prove the similarity, therefore option 2 is correct.

Citrus2011 [14]3 years ago
6 0

Answer:

MN and QR

Step-by-step explanation:

In order to prove the given triangles that are MNO and QSR are similar by SSS rule of congruence,

\frac{MN}{QR}=\frac{12}{48}=\frac{1}{4},

\frac{MO}{QS}=\frac{15}{60}=\frac{1}{4},

\frac{NO}{SR}=\frac{8}{32}=\frac{1}{4},

Now, \frac{MN}{QR}=\frac{MO}{QS}=\frac{NO}{SR}=\frac{1}{4}, therefore, the given triangles are similar.

Therefore, MN and QR is the other side to be used for similarity.

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