Question

What is the converse and the truth value of the converse of the following conditional?

If an angle is a right angle, then its measure is 90.

Responses

If an angle is not a right angle, then its measure is 90. False
If an angle is not a right angle, then its measure is 90. False

If an angle has a measure of 90, then it is a right angle. False
If an angle has a measure of 90, then it is a right angle. False

If an angle is not a right angle, then its measure is not 90. True
If an angle is not a right angle, then its measure is not 90. True

If an angle has a measure of 90, then it is a right angle. True
If an angle has a measure of 90, then it is a right angle. True

Answer 1

The original conditional statement is:

**If an angle is a right angle, then its measure is 90.**

The converse of this statement is:

**If an angle has a measure of 90, then it is a right angle.**

Now, let's determine the truth value of the converse. The converse is true because all angles that measure 90 degrees are defined as right angles.

So, the truth value for the converse is:

**If an angle has a measure of 90, then it is a right angle. True**

To summarize:

- Original conditional: True
- Converse: True

Thus, the correct response from the given options is:

**If an angle has a measure of 90, then it is a right angle. True**