20 Questions Chapter 10 Review. 1. Polygons The sum of the measures of the interior angles of a...
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Transcript of 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