Transcript Answer
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 26cm 24cm h 10cm 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 C A 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). 4 cm 120º 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. 10 cm Answer 10 cm Answer to question #20 .215