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Transcript
Geometry Unit 10 Corrective 2 Revised Summer 08 Show all work on a separate sheet of work paper. Follow the criteria for credit. Competency 1: Angle Measures in Polygons 1. Find the sum of the interior angles of a convex 23-gon. 2. Use the given information in each drawing to find the value of x, y and z. Competency 2: Area of 2D Geometric Shapes (part 1) 6. The perimeter of a rectangle is 40 inches and the base is 17 inches. What is the area? 7. A square and a rectangle have equal areas. If the rectangle is 18 cm by 8 cm, what is the perimeter of the square? 8. Find the area of the shaded portion of the following figure to the nearest tenth. 9. Find the area of the following right triangles. (nearest tenth) x 2x + 25 2x + 15 2x + 5 (2y + 10)° (2y – 5)° (2y – 5)° (y + 30)° (y + 30)° z° (2z – 27)° (2z – 80)° (z + 2)° (z – 4)° a) b) 15 2 m (2z – 26)° 15 cm 3. If the measure of an interior angle of a regular polygon is 150˚, How many sides are there? 4. The measure of an exterior angle of a regular polygon is 60˚, how many sides does the polygon have? 5. Find the measure of an interior and an exterior angle of a regular 11-gon. If necessary, round to the nearest tenth. Page 1 of 3 10. The following polygons are similar. a) What is the ratio of the perimeters? b) What is the ratio of the areas? © Mastery Mathematics 30˚ Geometry Unit 10 Corrective 2 15. Competency 3: Area of 2D Geometric Shapes (part 2) 11. Find the area of the triangle. Revised Summer 08 Find the area of the following figure to the nearest tenth. All angles that appear to be right angles are right angles. 10 cm y x 26 cm Competency 4: Area of Regular Polygon, Circle, Sector, and Segment 12. 13. Find the area of the parallelogram. 16. Find the area of the regular hexagon to the nearest tenth. 17. Find the area of the circle to the nearest tenth. Find the area of the trapezoid. 14 m 14. Find the area of the trapezoid. If necessary, write your answer in simplest radical form. 23 yd 18. The diameter of circle A is 4 times as long as the diameter of circle B. Briefly describe how the areas of the two circles compare. 19. Find the area of the shaded sector. Leave your answer in terms of π. 22 yd 140° 30° 3 km 35 yd Page 2 of 3 © Mastery Mathematics Geometry 20. Unit 10 Corrective 2 Find the area of the shaded segment to the nearest hundredth. Revised Summer 08 24. Multiple Choice Find the radius of a circle with a circumference of 27.5 m. Round to the nearest hundredth. 12 m Competency 5: Standardized Practice 21. Multiple Choice A convex hexagon has interior angles that measure 140o, 150o, 150o, and 160o. What is the measure of the sixth angle? 25. Multiple Choice Find the circumference of a circle whose area is 20m2. Round to the nearest tenth. 22. 23. Multiple Choice What is the ratio of the area of the larger heptagon to the area of the smaller heptagon in Problem #22? Page 3 of 3 © Mastery Mathematics