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 angles does a pentagon have?
6. Name the following figure.
7. What makes a polygon a regular polygon?
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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?
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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 angles 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.
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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)
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23. What are the properties of Trapezoids?
24. How many different quadrilaterals are there? Name them.
25. Label the diagram with the following shapes and their properties.
Square, trapezoid, quadrilateral, rhombus, parallelogram, rectangle
26. Identify the shape: (everything that applies)
a.
b.
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Homework
27. How can triangles be classified?
28. What kind of triangle is this?
29. Classify the triangle by its sides:
30. Classify the triangle by its angles:
31. Classify the triangle by its angles:
32. Classify the triangle: (all that applies)
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33. What are the properties of a square?
34. How many kind of quadrilaterals are there? Name them.
35. Label the diagram with the following shapes and the properties for each
section.
Square, trapezoid, quadrilateral, rhombus, parallelogram, rectangle
36. Identify the shape: (everything that applies)
a.
b.
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Coordinate plane
Classwork
37. In a coordinate plane which line is the x- axis, and which line is the y- axis?
38. What is the point at which the x and y axes intersect? Give its coordinates.
39. Give the coordinates for each point:
40. Plot the following points:
(5, 2) ; (3, 3) ; (4, 5) ; (6, 1)
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Homework
41. In a coordinate plane, what are the horizontal and vertical lines called?
42. What is the point at which the x and y axes intersect? Give its coordinates.
43. Give the coordinates for each point:
44. Plot the following points:
(2,4) ; (3,6) ; (1,3) ; (5,4)
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First quadrant
Classwork
45. Which point will create a trapezoid? (Plot it and give the coordinates.)
46. What kind of figure is this? Give the coordinates.
a.
b.
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47. Samantha and Samuel are creating a map of their town. They start with the
Grocery store and the Juice Stand. The Grocery Store (G) is 2 units further from
the x-axis and 2 units closer to the y-axis than the Juice Stand (J). Which
statement(s) is/are correct? (Select all that apply.)
a. The Juice Stand is 3 units from the y-axis.
b. The Grocery Store is 3 units from the y-axis.
c. The Juice Stand is two units down and
two units to the right of the Grocery Store.
d. The Juice Stand is two units closer to the
x-axis and two units further from the y-axis
than the Grocery Store.
48. Circle the correct answer.
The coordinate plane shows the number of people
(in 100s) who went to the beach the first few days of
Summer. If the pattern continues, how many
patients will visit the doctor’s office on day 5?
a.
b.
c.
d.
1050
1150
1200
1250
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Homework
49. Which point will create a right isosceles triangle? (Plot it and give the
coordinates.)
50. What kind of figure is this? Give the coordinates.
a.
b.
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51. The following coordinate grid shows a map of Mayberry Township. The Deli
(D), the Barber (B) and the Post Office (P) are shown. Which statement(s)
is/are correct? (Select all that apply.)
a. The Deli is 3 units to right of and 5 units up
from the origin.
b. The Post Office is three units above and
two units to the right of the Barber.
c. The Deli is 3 units closer to the y-axis than
the Barber.
d. The Barber is two units closer to the
x-axis than the Deli and one unit closer to the
y-axis than Post Office.
52. Circle the correct answer.
The coordinate plane shows the number of people
(in 100s) who went to the beach the last few days
of Summer. If the pattern was consistent, how many
People went to the beach on day 4?
a.
b.
c.
d.
50
200
400
500
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Geometry Unit Review
Multiple Choice Questions
1) Which of the following is a polygon?
a.
c.
b.
d.
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?
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a.
c.
b.
b.
d.
7. How many sides are equal on an isosceles triangle?
a. 1
b. 2
c. 3
d. none
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
a.
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following is a trapezoid?
b.
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c.
d.
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
point on the graph?
`
for the
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)
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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.
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18.
19.
20.
21.Label the x-axis, y-axis, and the
origin on the graph:
Plot the following points on the
graph:
22 (1,4)
23. (7,2)
24. (5,5)
25. (0,3)
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Extended Constructed Response Questions
26. Place 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.
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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. Diagram in slide notes
26. a. square
b. rhombus
27. angles or sides
28. isosceles triangle
29. equilateral triangle
30. obtuse triangle
31. obtuse triangle
32. obtuse triangle
33. four right angles and four congruent sides
34. 5: parallelogram, trapezoid, rectangle, square, rhombus
35. Diagram in slide notes
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36. a. quadrilateral, parallelogram, rhombus
b. quadrilateral, parallelogram, trapezoid
37.
38. origin, (0,0)
39. A (1,1); B(2,5); C(4,2)
40.
41. axis
42. origin, (0,0)
43. A(2,1); B(5,5); C(1,3)
44.
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45. (1,3)
46. a. parallelogram, (2,5); (7,5); (8,8); (3,8)
b. pentagon, (3,3); (3,6); (6,6); (7,4); (6,3)
47. B,C,D
48. D
49. (2, 7)
50. a. equilateral triangle, (2,3); (8,3); (5,8)
b. trapezoid, (1,4); (9,4); (7,8); (3,8)
51. A,D
52. D
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
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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
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