Question

triangle lmn and triangle qrs are similar right triangles. based on the information, which statement about slope is true? the slope of qs is equal to the slope of ln because they lie on the same line because triangle lmn is similar to triangle qrs. there is no relationship between the slope of qs and the slope of ln. the slope of qs is less than the slope of ln because triangle qrs is smaller than triangle lmn. the slope of ln is greater than the slope of qs because the points of ln are farther apart than the points of qs.

Explanation:

If two right - triangles are similar and their hypotenuses lie on the same line, the slope of the lines they lie on is the same. Since triangle LMN and triangle QRS are similar right - triangles and QS and LN lie on the same line, the slope of QS is equal to the slope of LN.

Answer:

The slope of QS is equal to the slope of LN because they lie on the same line because triangle LMN is similar to triangle QRS.