Question

Triangle PQR and triangle RST are similar right triangles PO

OR represents the Slope of the line PR. Set up an equivalent ratio for the Slope of the line RT. (Use the corresponding sides of triangle RST)
Please show work.​

Answer 1

`(PQ)/(QR) = (-4)/(3)`

Explanation:

Given that ∆PQR ~ ∆RST, if
`(PQ)/(QR)` gives us the slope of line PR, it will also be equivalent to the slope of line RT, which is given as
`(PQ)/(QR)`.

Therefore:

`(PQ)/(QR) = (RS)/(ST)`

`(PQ)/(QR) = (-5 - 3)/(2 -(-4))`

`= (-8)/(2 + 4)`

`= (-8)/(6)`

`(PQ)/(QR) = (-4)/(3)`