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PMI 5th Grade Geometry Classwork-Homework Polygons Classwork 1. Tell whether the following figures are polygons or not. a. b. c. 2. What characteristics make a polygon? 3. What are the names of each polygon based on? 4. How many sides does a Decagon have? 5. How many sides does a pentagon have? 6. Name the following figure. 7. What makes a polygon a regular polygon? NJ Center for Teaching and Learning ~1~ www.njctl.org 8. Are the following regular or irregular polygons? a. b. c. Homework 9. Tell whether the following figures are polygons or not. a. b. c. 10. What makes a shape a polygon? NJ Center for Teaching and Learning ~2~ www.njctl.org 11. How do you know how many sides a polygon has without seeing it? 12. How many sides does a quadrilateral have? 13. How many sides does a nonagon have? 14. Name the following figure: 15. Why are some polygons regular or irregular polygons? 16. Are the figures regular or irregular polygons? a. b. c. NJ Center for Teaching and Learning ~3~ www.njctl.org Classifying triangles and quadrilaterals Classwork 17. How can triangles be classified? 18. What kind of triangle is this: 19. Classify the triangle by its sides: 20. Classify the triangle by its angles: 21. Classify the triangle by its angles: 22. Classify the triangle: (all that applies) NJ Center for Teaching and Learning ~4~ www.njctl.org 23. What are the properties of Trapezoids? 24. How many kind of quadrilaterals are there? Name them. 25. Identify the shape: (everything that applies) a. b. Homework 26. How can triangles be classified? 27. What kind of triangle is this? 28. Classify the triangle by its sides: NJ Center for Teaching and Learning ~5~ www.njctl.org 29. Classify the triangle by its angles: 30. Classify the triangle by its angles: 31. Classify the triangle: (all that applies) 32. What are the properties of a square? 33. How many kind of quadrilaterals are there? Name them. 34. Identify the shape: (everything that applies) a. b. NJ Center for Teaching and Learning ~6~ www.njctl.org Coordinate plane Classwork 35. In a coordinate plane which line is the x- axis, and which line is the yaxis? 36. What is the point at which the x and y axes intersect? Give its coordinates. 37. Give the coordinates for each point: 38. Plot the following points: (5, 2) ; (3, 3) ; (4, 5) ; (6, 1) NJ Center for Teaching and Learning ~7~ www.njctl.org Homework 39. In a coordinate plane, what are the horizontal and vertical lines called? 40. What is the point at which the x and y axes intersect? Give its coordinates. 41. Give the coordinates for each point: 42. Plot the following points: (2,4) ; (3,6) ; (1,3) ; (5,4) NJ Center for Teaching and Learning ~8~ www.njctl.org First quadrant Classwork 43. Which point will create a square? (Plot it and give the coordinates.) 44. Which point will create a trapezoid? (Plot it and give the coordinates.) 45. What kind of figure is this? Give the coordinates. a. NJ Center for Teaching and Learning ~9~ www.njctl.org b. Homework 46. Which point will create a parallelogram? (Plot it and give the coordinates.) 47. Which point will create a right isosceles triangle? (Plot it and give the coordinates.) NJ Center for Teaching and Learning ~ 10 ~ www.njctl.org 48. What kind of figure is this? Give the coordinates. a. b. Geometry Unit Review Multiple Choice Questions 1) Which of the following is a polygon? a. c. NJ Center for Teaching and Learning b. d. ~ 11 ~ www.njctl.org 2. How many sides does an octagon have? a. 6 b. 5 c. 7 d. 8 3. How many sides does a heptagon have? a. 6 b. 5 c. 7 d. 8 4. What is the name of a polygon with 6 sides? a. pentagon b. hexagon c. heptagon d. sixagon 5. What is the name of a polygon with 4 sides? a. fouragon b. pentagon c. quadrilateral d. square 6. Which of the following polygons are irregular? a. b. c. d. b. 7. How many sides are equal on an isosceles triangle? a. 1 b. 2 NJ Center for Teaching and Learning c. 3 d. none ~ 12 ~ www.njctl.org 8. Which triangle is obtuse? a. b. c. d. 9. Which of the following is a quadrilateral? a. b. c. d. 10. Which of the following is a trapezoid? a. b. c. d. NJ Center for Teaching and Learning ~ 13 ~ www.njctl.org 11. What are the coordinates for the point on the graph? a. (4,5) b. (0,5) c. (5,4) d. (5,3) 12. What are the coordinates for the point on the graph? ` a. (3,7) b. (7,3) c. (0,7) d. (3,0) 13. Which point will create a square? a. (3,3) b. (2,0) c. (3,2) d. (2,3) NJ Center for Teaching and Learning ~ 14 ~ www.njctl.org 14. Which point will create a parallelogram? a. (8,2) b. (7,2) c. (10,2) d. (6,2) 15. Which point will create a right isosceles triangle? a. (3,9) b. (7,2) c. (7,0) d. (5,3) Short Constructed Response Questions Identify the shape: (all that applies) 16. 17. 18. 19. NJ Center for Teaching and Learning ~ 15 ~ www.njctl.org 20. 21.Label the x-axis, y-axis, and the origin on the graph: NJ Center for Teaching and Learning ~ 16 ~ www.njctl.org Plot the following points on the graph: 22 (1,4) 23. (7,2) 24. (5,5) 25. (0,3) NJ Center for Teaching and Learning ~ 17 ~ www.njctl.org Extended Constructed Response Questions 26. Place a four points on the graph to create a regular quadrilateral. Name the coordinates for the points and the quadrilateral you graphed. 27. Mr. George has a garden. His garden has 5 sides that are all equal in length. What is the shape of Mr. George’s garden? If Mr. George wants to add another garden with one less side than that, what shape could he make the new garden? List all possibilities. NJ Center for Teaching and Learning ~ 18 ~ www.njctl.org Geometry CW-HW Answer Key 1. a. no b. yes c. yes 2. simple, closed plane figure made up of 3 or more line segments that do not intersect. 3. number of sides 4. 10 5. 5 6. octagon 7. sides and angles are congruent 8. a. no b. yes c. yes 9. a. no b. no c. no 10. simple, closed plane figure made up of 3 or more line segments that do not intersect. 11. by it’s name 12. 4 13. 9 14. 12 15. depending on if their angles and sides are congruent or not 16. a. regular b. irregular c. irregular 17. angles or sides 18. equilateral triangle 19. scalene triangle 20. right triangle 21. acute triangle 22. isosceles right triangle 23. exactly one pair of parallel sides 24. 5: parallelogram, trapezoid, rectangle, square, rhombus 25. a. square b. rhombus 26. angles or sides 27. isosceles triangle 28. equilateral triangle 29. obtuse triangle 30. obtuse triangle 31. obtuse triangle 32. four right angles and four congruent sides 33. 5: parallelogram, trapezoid, rectangle, square, rhombus 34. a. quadrilateral, parallelogram, rhombus b. quadrilateral, parallelogram, trapezoid NJ Center for Teaching and Learning ~ 19 ~ www.njctl.org 35. 36. origin, (0,0) 37. A (1,1); B(2,5); C(4,2) 38. 39. axis 40. origin, (0,0) 41. A(2,1); B(5,5); C(1,3) 42. 43. (1,1) 44. (1,3) 45. a. parallelogram, (2,5); (7,5); (8,8); (3,8) b. pentagon, (3,3); (3,6); (6,6); (7,4); (6,3) 46. (8, 4) NJ Center for Teaching and Learning ~ 20 ~ www.njctl.org 47. (2, 7) 48. a. equilateral triangle, (2,3); (8,3); (5,8) b. trapezoid, (1,4); (9,4); (7,8); (3,8) Unit Review Answer Key 1. c 2. d 3. c 4. b 5. c 6. d 7. b 8. c 9. b 10. a 11. a 12. b 13. c 14. d 15. b 16. rhombus 17. right isosceles triangle 18. octagon 19. parallelogram quadrilateral 20. acute equilateral triangle 21. graph 22. graph 23. graph 24. graph 25. graph 26. answers will vary 27. pentagon, quadrilaterals: parallelogram, rectangle, rhombus, square NJ Center for Teaching and Learning ~ 21 ~ www.njctl.org