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2-80.

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 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 isosceles, then its base angles are congruent. Always true.

  2. If a polygon is a triangle, then the sum of the angles in the polygon is 180°.

    If the sum of the angles in a polygon is 180°, is the polygon always a triangle?

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

    Is your mom happy just because you cleaned your room?