Home > CCG > Chapter 9 > Lesson 9.1.5 > Problem 9-58
Decide if the following statements are true or false. If they are true, explain how you know. If they are false, provide a counterexample.
If a quadrilateral has two sides that are parallel and two sides that are congruent, then the quadrilateral must be a parallelogram.
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
If a quadrilateral has
right angles, then the quadrilateral must be a rectangle. True
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: 9-58a HW eTool
Experiment with the construction in the eTool below.
Click the link at right for the full eTool version: 9-58d HW eTool