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Home > GC > Chapter 9 > Lesson 9.1.5 > Problem 9-50

9-50.

Decide if the following statements are true or false. If they are true, explain how you know. If they are false, provide a counterexample.  

  1. If a quadrilateral has two sides that are parallel and two sides that are congruent, then the quadrilateral must be a parallelogram.

  1. If the interior angles of a polygon add up to , then the polygon must be a quadrilateral.

    Review the Math Notes for information about the interior angles of polygons.

    True

  2. If a quadrilateral has right angles, then the quadrilateral must be a rectangle.

    True

  3. If the diagonals of a quadrilateral bisect each other, then the quadrilateral must be a rhombus.

Experiment with the construction in the eTool below.
Click the link at right for the full eTool version: 9-50a HW eTool

Experiment with the construction in the eTool below.
Click the link at right for the full eTool version: 9-50d HW eTool