Answer:
The correct answer is: 3. QR ∦ ST 4. QR ║ ST
Explanation:
If the PST and PQR triangles are similar, then the corresponding sides are proportional. We will check that:
PS : PQ = PT : PR ⇔ PS / PQ = PT / PR = k
3.
10/4 = 8/3 => 5/2 = 8/3
When we multiply the both fractions to get same denominators we get
15/6 ≠ 16/6
the corresponding sides are not proportional and triangles PST and PQR are not similar and QR ∦ ST => QR is not parallel to ST
4. 27/22 = 43.2/35.2 = 1.2272727.... = 1.2(27)
the corresponding sides are proportional and triangles PST and PQR are similar and QR ║ ST => QR is parallel to ST
God with you!!!