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2-27.

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 it rains, then the ground is wet.

    If the ground is wet, then it is raining. The converse is not always true.

  2. If a polygon is a square, then it is a rectangle.

    If a polygon is a rectangle, then it is a square. The converse is not always true.

  3. If a polygon is a rectangle, then it has four 90° angles.

    If a polygon has four 90° angles, then it is a rectangle. The converse is not always true.

  4. If a polygon has three angles, it is a triangle.

  5. If two lines intersect, then vertical angles are congruent.