20 Questions

Chapter 10 Review

1. Polygons

The sum of the measures of the interior angles of a convex polygon is 2520. How many sides does the polygon contain?

Answer

Answer to Question #1

16 Sides

2. Polygons

The sum of the measures of five interior angles of a heptagon is 690. The measure of the 6th angle is twice the measure of the seventh. Find the measure of the 6th angle.

Answer

Answer to question #2

140 degrees

3. Polygons

Find the sum of the measures of the exterior angles of a convex nonagon.

Answer

Answer to question #3

360 degrees

4. Polygons

Find the sum of the measures of the interior angles of a convex 14-gon

Answer

Answer to question #4

2160 degrees

5. Polygons

How many sides are in a regular polygon if each interior angle measures 144º?

Answer

Answer to question #5

10 Sides

6. Parallelograms

Find the area of a parallelogram that has vertices: A(-4, 15), B(1, 15), C(4, 10), and D(-1, 10)

Answer

Answer to question #6

25 square units

7. Parallelograms

The length of a rectangle is 4in. More than the width. If the perimeter is 84in., find the area of the rectangle.

Answer

Answer to question #7

437 square inches

8. Parallelograms

Find the area of a parallelogram with side lengths 8cm and 16cm and an acute angle of 45º.

Answer

Answer to question #8

90.51 sq. cm

9. Triangle, Rhombi, and Trapezoids

Find the area of a rhombus with sides 8 inches and diagonals of 12 inches and 9 inches.

Answer

Answer to question #9

54 sq inches

10. Triangle, Rhombi, and Trapezoids

Find the area of an isosceles trapezoid with base angles of 30º, height of

6 3 and a long base of 150 cm

Answer

Answer to question #10

1496.49 sq cm

11. Triangle, Rhombi, and Trapezoids

The area of a triangle is 160 sq cm. The height is 20 cm., Find the length of the base.

Answer

Answer to question #11

16 cm

12. Triangle, Rhombi, and Trapezoids

Find the value of h

10cm

24cm26cm

h

Answer

Answer to question #12

9.23 cm

13. Regular Polygons and Circles

The area of triangle ABC is 24 sq meters. If AC = 6 m and AB is a diameter, find the area of the circle

A

C

B

Answer

Answer to question #13

25sq meters

14. Regular Polygons and Circles

Find the area of a regular octagon with radius of 5 yd.

Answer

Answer to question #14

70.71 sq yds

15. Regular Polygons and circles

Find the area of a regular hexagon with a side length of 22 ft.

Answer

Answer to question #15

1257.47 sq. ft

16. Regular Polygons

Find the area of a regular decagon with an apothem of 3 cm

Answer

Answer to question #16

29.24 sq. cm

17. Regular Polygons

Find the area of the shaded region. AB = 8 ft. C is the midpoint of AB

Answer

Answer to question #17

110.85 sq. ft

18. Geometric Probabilities

Luke told Scott that he would arrive at the basketball game sometime between 7:20 and 7:45. Scott says that he must be on the court at 7:30. What is the probability that Luke will arrive by 7:30?

Answer

Answer to question #18

10/25 = 2/5 = .4

19. Geometric Probability

Find the area of the sector (inside the central angle).

120º

4 cm

Answer

Answer to question #19

16.76 sq cm

20. Geometric Probabilities

Find the probability that a point chosen at random lies in the shaded region.

Answer

10 cm

10 cm

Answer to question #20

.215