20 questions chapter 10 review. 1. polygons the sum of the measures of the interior angles of a...

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