Answer:
1. The correct option is 4. Segment CB is congruent to segment AB.
2. The correct option is 3. The length of segment CD must be 6 cm.
3. The correct option is 3. The length of AC is 15.
Step-by-step explanation:
Part 1:
From the given figure it is clear that AB=CB, AE=CE and AD=CD.
According the property of congruent segment, the equal sides and always congruent.
[tex]AB=CB[/tex] (Given)
Using property of congruent segment,
[tex]AB\cong CB[/tex]
Segment CB is congruent to segment AB. Therefore the correct option is 4.
Part 2:
Measure of segment AD is 6 cm.
[tex]AD=CD[/tex]
[tex]6=CD[/tex]
The length of segment CD must be 6, therefore the correct option is 3.
Part 3:
If point B is between points A and C, and AB = 6 and BC = 9, then
[tex]AC=AB+BC[/tex]
[tex]AC=6+9[/tex]
[tex]AC=15[/tex]
The length of AC is 15. Therefore the correct option is 3.