# Enter the proportional segment lengths into the boxes to verify that ¯¯¯QS¯∥MN¯ . ___ /1.5= ___ / ___?

##### 1 Answer

Oct 21, 2017

Two triangles RMN & RQS are similar.

Therefore, QS // MN.

#### Explanation:

To prove QS is parallel to MN.

Add 1 to both sides,

Dividing Eqn (1) by (2),

Two sides of triangles RMN & RQS are in the same proportion.

Therefore third sides are also in the same proportion.

That means both the triangles RMN & RQS are similar and hence

MN // QS.