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Unit 3– Quadrilaterals

Unit 3– Quadrilaterals. Review for Final Exam. True/False. A diagonal is a line segment in a polygon that connects any two vertices. 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. True/False.

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Unit 3– Quadrilaterals

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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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