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Home > INT2 > Chapter 2 > Lesson 2.3.3 > Problem 2-104

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 .

    What if I had a 12-sided die?

  3. If a triangle has a 90º angle, then it is a right triangle.

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