1. RT TQ RU US
proportionally
third side
TU QS

2. Triangle Proportionality
Theorem 10 12 6 5

3. 27 23 31 19 27 23 31 19

4. KL KJ LM MN = 18 x 44 24
x = 33 PQ QR PT TS 18 38 36 80 = 9 19 20 ≠
QT is not parallel to RS because the
segments aren't proportional.

5. Proportional Segments Theorem
proportionally VX XZ
Triangle Angle Bisector Theorem
proportional CA CB

6. CB + BA DE + EF
2000
2500
5500
2500
2000
4400
2000

7. 14 - x
14 - x 12 8 or 3 2
5.6

8. x 27 32 24 4 3 = or
3x = 108
x = 36 = 1 x √2
x = √2