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Home > CCG > Chapter 6 > Lesson 6.2.4 > Problem 6-86


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 base angles of a triangle are congruent, then it is isosceles.

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

    Converse: If a triangle is isoceles, then its base angles are congruent. Always true.

  2. If a figure is a triangle, then the sum of the angles in the figure is .

    If the sum of the angles in a figure is , is the figure always a triangle?

  3. If I clean my room, then my mom will be happy.

    Is your mom always happy solely because you cleaned your room?