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

2. Diagonals are congruent.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

3. Diagonals are perpendicular.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

4. All sides are congruent.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

5. Opposite angles are congruent.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

6. Opposite angles are bisected by the diagonals.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

7. Diagonals are bisected.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

8. Exactly one pair of opposite angles is congruent.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

9. Consecutive angles (non-opposite) are supplementary.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

10. All angles are congruent.

Parallelogram Kite Trapezoid Isosceles-Trapezoid Rectangle Rhombus Square

11. What is the value of x in the following rhombus?

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?

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?

Perimeter = ______

Area = ______

21. In rectangle ABCD, what is the length of AE 22. What is the value of x in the
if BD = 25? following parallelogram?

23. What is the perimeter and area of the following rectangle?

P = ______

A = ______

24. A shape that is regular is…(circle all that apply)

ConvexConcave Equilateral Equiangular

25. Draw a convex pentagon and a concave pentagon.

ConvexConcave

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.

30. Lines AB and BC are two sides of a rectangle. If line AB has a slope of , what is the slope of BC?

31. If line KL has endpoints K(2, 4) and L(-5, 8), what is the length of KL?