### Home > INT2 > Chapter 2 > Lesson 2.3.3 > Problem2-104

2-104.

Write a converse for each conditional statement below. Then, assuming the original statement is true, decide if the converse must be true or not.

1. If the cat knocks over the lamp, then it will run away frightened.

To write a converse, switch the hypothesis and conclusion of the conditional statement.

Converse: If the cat runs away frightened, then it knocked over the lamp.
This is not always true. There are lots of reasons cats run away.

2. If a standard six-sided dice is rolled, then the probability of getting a $3$ is $\frac { 1 } { 6 }$.

What if I had a $12$-sided die?

$\text{Would it be possible to get a '3' exactly }\frac{1}{6}\text{ of the time?}$

3. If a triangle has a $90^\circ$ angle, then it is a right triangle.

Make sure the converse is $100\%$ true for all cases.