Question

1. In the diagram, which of the following segments is congruent to segment AB? Segment AD

Segment AC
Segment CD
Segment CB

2. In the diagram, if segment AD has a length of 6 cm, then the length of segment CD must be which of the following?
less than 6 cm
greater than 6 cm
equal to 6 cm
cannot be determined from the given information

3. If point B is between points A and C, and AB = 6 and BC = 9, then what is AC?
3
12
15
18

Answer 1

The answer to 1 is segment CB the answer to 2 is equal to 6 and I think the answer to 3 is 3

Answer 2

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.

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.

`AB=CB` (Given)

Using property of congruent segment,

`AB\cong CB`

Segment CB is congruent to segment AB. Therefore the correct option is 4.

Part 2:

Measure of segment AD is 6 cm.

`AD=CD`

`6=CD`

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

`AC=AB+BC`

`AC=6+9`

`AC=15`

The length of AC is 15. Therefore the correct option is 3.