Download Polygon Review

Name ______________________________________ Period _________ Date________
Geometry Review Polygons
Circle All Shapes that Apply
1. Opposite sides are parallel.
Parallelogram
Kite
Trapezoid
Isosceles-Trapezoid
Rectangle
Rhombus
Square
Isosceles-Trapezoid
Rectangle
Rhombus
Square
Isosceles-Trapezoid
Rectangle
Rhombus
Square
Isosceles-Trapezoid
Rectangle
Rhombus
Square
Isosceles-Trapezoid
Rectangle
Rhombus
Square
Isosceles-Trapezoid
Rectangle
Rhombus
Square
Isosceles-Trapezoid
Rectangle
Rhombus
Square
Rectangle
Rhombus
Square
Isosceles-Trapezoid
Rectangle
Rhombus
Square
Isosceles-Trapezoid
Rectangle
Rhombus
Square
2. Diagonals are congruent.
Parallelogram
Kite
Trapezoid
3. Diagonals are perpendicular.
Parallelogram
Kite
Trapezoid
4. All sides are congruent.
Parallelogram
Kite
Trapezoid
5. Opposite angles are congruent.
Parallelogram
Kite
Trapezoid
6. Angles are bisected by the diagonals.
Parallelogram
Kite
Trapezoid
7. Diagonals are bisected.
Parallelogram
Kite
Trapezoid
8. Exactly one pair of opposite angles is congruent.
Parallelogram
Kite
Trapezoid
Isosceles-Trapezoid
9. Consecutive angles (non-opposite) are supplementary.
Parallelogram
Kite
Trapezoid
10. All angles are congruent.
Parallelogram
Kite
Trapezoid
11. What is the value of x in the following rhombus? What is the value of y?
(3x – 15)°
y°
54°
12. In rectangle ABCD, what is the length of AE
if BD = 25?
A
13. What is the value of x in the
following parallelogram?
B
(4x + 14)°
E
D
(2x – 8)°
C
14. A shape that is regular is…(circle all that apply)
Convex
Concave
Equilateral
Equiangular
15. Draw a convex pentagon and a concave pentagon.
Convex
Concave
16. Write the number of sides each shape has:
Pentagon:
Nonagon:
Heptagon:
Hexagon:
Decagon:
Quadrilateral:
17. Determine the sum of the interior angles of a 20-gon.
18. Determine the measure of one interior angle of a regular octagon.
19. Determine the measure of each exterior angle of a regular 15-gon.
5
20. Lines AB and BC are two consecutive sides of a rectangle. If line AB has a slope of  ,
7
what is the slope of BC?
21. Given points A(-6, -3), B(-3, 5), C(6, 1), and D(3, -7). Use the diagonals to determine whether
the parallelogram is a rectangle, rhombus, or square.
y
Slopes:
Lengths:
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
1 2 3 4 5 6 7 8 9 10
x
22. In kite PQRS, m∠QPS = 40° and m∠QRS = 80°. Find m∠PSR.
Q
P
O
R
S
23. In kite PQRS, OP = 12 and QP = 13. What is the length of QS?
Q
P
O
R
S
24. In the isosceles trapezoid below, AC = 3x + 14 and BD = 6x – 1. What is the value of x?
A
D
B
C