Use the AA similarity Postulate to prove the diagram has two similar triangles. Name the triangles correspondingly.

Triangle  PRT is similar to triangle SRQ

Step-by-step explanation:

AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

one  angle is already given   : angle    RPT congruent to  angle   RSQ

The other is   :   angle    TRP congruent to  angle  SRQ (both triangles share the  same angle)

Triangle PRT is similar to triangle SRQ  (AA postulate)

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c