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

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

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

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

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

23. True/False
Every rhombus is a square.

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

25. True/False
Every square is a rectangle.

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

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

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°
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 and Prove: AC and PQ bisect each other