Name ______________________________________ Period _________ Date________
GEOMETRY REVIEW
Polygons, Area, Perimeter, and Dimensionality
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. Opposite 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?
(3x – 15)°
12. A parallelogram has a 4-inch base. If the area of the parallelogram is 64 square inches, what is
the height of the parallelogram?
13. What is the area of a rhombus if one diagonal is 5cm and the other diagonal is 7cm?
14. The area of a square is 36 square inches. What is the perimeter of the square?
15. A regular hexagon has an apothem of 4cm and a side length of 6.5cm. What is the area of the
hexagon?
16. A regular octagon has an apothem of 10cm and an area of 110cm2. What is the length of each
side of the octagon?
17. A regular pentagon is given below. What is the area of the pentagon?
5cm
18. The radius of a circle is multiplied by 2. Circle all answers that are true.
A) The circumference is doubled.
B) The area is doubled.
C) The circumference is quadrupled.
D) The area is quadrupled.
19. A triangle has an area of 12in2. If the triangle is dilated so that the area becomes 192in2, what
is the scale factor?
20. What is the perimeter and area of the isosceles trapezoid?
4cm
Perimeter = _________
Area
5cm
= _________
10cm
21. In rectangle ABCD, what is the length of AE
if BD = 25?
A
22. What is the value of x in the
following parallelogram?
B
E
(4x + 14)°
(2x – 8)°
D
C
23. What is the perimeter and area of the following rectangle?
(2x + 4)
P = _____________
(x – 3)
A = _____________
24. A shape that is regular is…(circle all that apply)
Convex
Concave
Equilateral
Equiangular
25. Draw a convex pentagon and a concave pentagon.
Convex
Concave
26. Write the number of sides each shape has:
Pentagon:
Nonagon:
Heptagon:
Hexagon:
Decagon:
Quadrilateral:
27. Determine the sum of the interior angles of a 20-gon.
28. Determine the measure of one interior angle of a regular octagon.
29. Determine the measure of each exterior angle of a regular 15-gon.
5
30. Lines AB and BC are two sides of a rectangle. If line AB has a slope of  , what is the slope
7
of BC?
31. If line KL has endpoints K(2, 4) and L(-5, 8), what is the length of KL?