Question

Which of the following verifies that ST¯¯¯¯¯∥QR¯¯¯¯¯?

Answer 1

Answer:

Step-by-step explanation:

From the picture attached,

If ΔPRQ ~ ΔPTS,

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

$\frac{PR}{PT}= \frac{PQ}{PS}$

$\frac{7.5+4.5}{4.5}= \frac{20}{7.5}$

$\frac{12}{4.5}=\frac{20}{7.5}$

$\frac{120}{45}= \frac{200}{75}$

$\frac{8}{3}=\frac{8}{3}$

By the converse of similar triangles,

If two triangles ΔPRQ and ΔPTS are similar, sides ST and QR will be parallel.