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Section 2: Summary – Properties of ... - Willets Geometry

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29. All 4 pairs <strong>of</strong> consecutive angles are supplementary<br />

30. Both pairs <strong>of</strong> opposite sides are parallel and diagonals are perpendicular<br />

31. Parallelogram with congruent diagonals<br />

32. Both pairs <strong>of</strong> opposite sides are congruent<br />

33. Parallelogram with congruent and perpendicular diagonals<br />

Part 5 <strong>–</strong> Review Questions<br />

1. A polygon with four sides is called a_________.<br />

2. If the diagonals <strong>of</strong> a quadrilateral bisect each other, then the quadrilateral must be a _____.<br />

3. If the diagonals <strong>of</strong> a parallelogram are congruent, then the parallelogram must be a ______.<br />

4. If the diagonals <strong>of</strong> a parallelogram are perpendicular, then the parallelogram must be a _____.<br />

5. If the diagonals <strong>of</strong> a parallelogram are congruent and perpendicular, then the parallelogram<br />

must be a ____.<br />

6. In any parallelogram, consecutive angles are ________.<br />

7. If the opposite angles <strong>of</strong> a parallelogram are supplementary, then the parallelogram<br />

must be a _______<br />

8. (TF) A parallelogram is a quadrilateral where both pairs <strong>of</strong> opposite sides are parallel.<br />

9. (TF) If the diagonals <strong>of</strong> a parallelogram are congruent and perpendicular, then the<br />

parallelogram is always a square.<br />

10. (TF) An equiangular, equilateral quadrilateral must be a square.<br />

11. (TF) If a quadrilateral is equilateral, then it must be a square.<br />

12. (TF) Every rhombus is equiangular.<br />

13. (TF) The diagonals <strong>of</strong> a trapezoid are always congruent.<br />

14. (TF) The diagonals <strong>of</strong> an isosceles trapezoid bisect each other.<br />

15. (TF) A square is a rhombus.<br />

16. (TF) If the diagonals <strong>of</strong> a parallelogram are congruent, then the parallelogram must be a<br />

rectangle.<br />

Fill in the blanks with “Always”, “Sometimes” or “Never”<br />

17. The opposite angles <strong>of</strong> a parallelogram are congruent.<br />

18. The opposite angles <strong>of</strong> a parallelogram are supplementary.<br />

19. The diagonals <strong>of</strong> a parallelogram are congruent.<br />

20. The diagonals <strong>of</strong> a rhombus are congruent.

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