Question

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

Answer 1

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.

Answer 2

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.