Download Polygons and Quadrilaterals Review Name Geometry Date 1. A

Polygons and Quadrilaterals Review
Geometry
Date
Name
1. A polygon with all angles congruent and all sides congruent is a
polygon.
2. A quadrilateral whose diagonals bisect each other is a
.
3. A parallelogram with four congruent sides is a
.
4. A parallelogram with four congruent angles is a
.
5. A parallelogram with four congruent sides and four congruent angles is a
.
6. A parallelogram whose diagonals are perpendicular is a
.
7. A parallelogram whose diagonals bisect opposite angles is a
.
8. A parallelogram whose diagonals are congruent is a
.
9. A parallelogram whose diagonals are perpendicular and congruent is a
.
10. A
is a quadrilateral with at least one pair of parallel sides.
11. A(n)
congruent, and base angles are congruent.
trapezoid is a trapezoid whose legs are congruent, diagonals are
12. Find the measure of an interior angle and an exterior angle of each regular polygon.
a) hexagon
b) 16-gon
c) pentagon
13. What is the sum of the interior angles and sum of the exterior angles for each of the following
polygons.
a) octagon
b) 14-gon
c) nonagon
14. Find the measure of the missing angle.
15. Find the measures of the numbered angles for each parallelogram.
a)
b)
c)
d)
16. Find the values of x and y in parallelogram ABCD.
a) AB = 2y, BC = y + 3, CD = 5x - 1, DA = 2x + 4
17. Determine whether the quadrilateral must be a parallelogram. Explain.
a)
b)
18. Find the values of the variables for which ABCD must be a parallelogram.
a)
b)
19. Find the measures of the numbered angles in each special parallelogram.
a)
b)
20. Determine whether each statement is always, sometimes, or never true.
a) A rhombus is a square.
b) A square is a rectangle.
c) A rhombus is a rectangle.
d) The diagonals of a parallelogram are perpendicular.
e) The diagonals of a parallelogram are congruent.
f) Opposite angles of a parallelogram are congruent.
21. Can you conclude the parallelogram is a rhombus, rectangle, or square? Explain.
a)
b)
22. For what value of x is the figure the given parallelogram?
a)
b)
23. Find the measures of the numbered angles in each isosceles trapezoid.
a)
b)
24. Find the measures of the numbered angles in each kite.
a)
b)
25. A trapezoid has base lengths of (6x - 1) units and 3 units. Its midsegment has a length of (5x - 3)
units. What is the value of x?
26. Determine whether ABC is scalene, isosceles, or equilateral. A(-1, -2), B(-1, 1), C(3, -2). Show
all work.
a)
27. Determine whether ABC is a right triangle. A(0, 2), B(3, 3), C(1, -1). Show all work.
28. Prove that quadrilateral GRAD is a rectangle.
a) G(-5, 2), R(-2, 6), A(6, 0), D(3, -4)
29. Quadrilateral ABCD has coordinates at A(-3, 0), B(0, 6), C(5, 6), and D(2, 0). Prove ABCD is a
parallelogram by showing its diagonals bisect each other.