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