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Review of Quadrilateral Properties for Final Exam: True/False Questions

This comprehensive review focuses on key properties of quadrilaterals and polygons, covering true/false statements ranging from the characteristics of kites, rectangles, trapezoids, and parallelograms to the properties of angles in polygons. It includes questions on the relationships between diagonals, the measures of angles in various polygons, and how to determine the perimeter and sum of angles based on given conditions. Ideal for students preparing for their final exam on geometry.

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Review of Quadrilateral Properties for Final Exam: True/False Questions

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  1. Unit 3– Quadrilaterals Review for Final Exam

  2. True/False • A diagonal is a line segment in a polygon that connects any two vertices.

  3. True/False • If the sum of the lengths of two consecutive sides of a kite is 48 cm, then the perimeter of the kite is 96 cm.

  4. True/False • If the vertex angles of a kite measure 48° and 36°, then the nonvertex angles each measure 138°.

  5. True/False • The diagonals of a rectangle are perpendicular bisectors of each other.

  6. True/False • A trapezoid is a quadrilateral having exactly one pair of parallel sides.

  7. True/False • A polygon with ten sides is a decagon.

  8. True/False • A square is a rectangle with all the sides equal in length.

  9. True/False • A pentagon has five sides and six diagonals.

  10. True/False • Any two consecutive sides of a kite are congruent.

  11. True/False • If a polygon has two pairs of parallel sides then it is a parallelogram.

  12. True/False • The diagonals of a parallelogram are congruent.

  13. True/False • The measure of each angle of a regular dodecagon is 150°.

  14. True/False • If the sum of the measures of the interior angles of a polygon is less than 1000°, then the polygon has fewer than 7 sides.

  15. True/False • The sum of the measures of one set of exterior angles of a polygon is always less than the sum of the measures of the interior angles.

  16. True/False • Both pairs of base angles of an isosceles trapezoid are supplementary.

  17. True/False • The diagonals of a rhombus bisect the angles of the rhombus.

  18. If the diagonals of a quadrilateral are congruent, but only one is the perpendicular bisector of the other, then the quadrilateral is a kite. True/False

  19. If the diagonals of a quadrilateral are congruent and perpendicular then it is a square. True/False

  20. The consecutive angles of a rectangle are congruent and supplementary. True/False

  21. The diagonals of a rectangle bisect the angles. True/False

  22. True/False • A square is a rhombus with all angles congruent.

  23. Every rhombus is a square. True/False

  24. True/False • It is not possible for a trapezoid to have three congruent sides.

  25. Every square is a rectangle. True/False

  26. A diagonal divides a square into two isosceles right triangles. True/False

  27. Opposite angles in a parallelogram are always congruent. True/False

  28. Always/Sometimes/Never • An equilateral polygon is equiangular.

  29. Always/Sometimes/Never The diagonals of a kite are perpendicular bisectors of each other.

  30. Find the angle measures of x and y.

  31. One exterior angle of a regular polygon measures 10°. - What is the measure of each interior angle? - How many sides does the polygon have?

  32. Find the measures of a, b and c.

  33. Find the measures of x and y.

  34. In the diagram below, the line segment with a measure of 29 is the midsegment of the trapezoid. Find the measures of x, y and z.

  35. Given: ABCD is a parallelogram andProve: AC and PQ bisect each other

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