Part 1: Write two conditional statements for which the converse is true.

1. Statement:
2. Converse:

3. Statement:
4. Converse:

Part 2: Write two conditional statements for which the converse is false.

5. Statement:
6. Converse:

7. Statement:
8. Converse:

Part 1:

1. Statement: If it is raining, then the ground is wet.
Converse: If the ground is wet, then it is raining.

To determine if the converse is true, we need to assess if the converse statement holds in the same way as the original statement. In this case, it does not hold true because there are various ways the ground can become wet (e.g., sprinkler, spilled water), without it necessarily raining.

2. Statement: If a shape is a rectangle, then it has four equal angles.
Converse: If a shape has four equal angles, then it is a rectangle.

Again, we assess whether the converse statement holds true in the same way as the original statement. In this case, the converse is also true, as any shape with four equal angles is, indeed, a rectangle.

Part 2:

5. Statement: If it is winter, then it is cold outside.
Converse: If it is cold outside, then it is winter.

In this case, the converse statement is false. It may be cold outside due to other reasons, such as being at a high altitude or being in a refrigerated room, without it being winter.

6. Statement: If a person is a doctor, then they have a medical degree.
Converse: If a person has a medical degree, then they are a doctor.

Again, the converse statement is false. Having a medical degree does not necessarily make someone a doctor, as there are various professions and careers related to medicine that do not require being a doctor (e.g., nurse, researcher).