### 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. Homework Help ✎

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 90º angle, then it is a right triangle.

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