PMI 5th Grade Geometry

Classwork-Homework

Polygons

Classwork

  1. Tell whether the following figures are polygons or not.

a.

b.

c.

  1. What characteristics make a polygon?
  1. What are the names of each polygon based on?
  1. How many sides does a Decagon have?
  1. How many angles does a pentagon have?
  1. Name the following figure.
  1. What makes a polygon a regular polygon?
  1. Are the following regular or irregular polygons?

a.

b.

c.

Homework

  1. Tell whether the following figures are polygons or not.

a.

b.

c.

  1. What makes a shape a polygon?
  1. How do you know how many sides a polygon has without seeing it?
  1. How many sides does a quadrilateral have?
  1. How many angles does a nonagon have?
  1. Name the following figure:
  1. Why are some polygons regular or irregular polygons?
  1. Are the figures regular or irregular polygons?

a.

b.

c.

Classifying triangles and quadrilaterals

Classwork

  1. How can triangles be classified?
  1. What kind of triangle is this:
  1. Classify the triangle by its sides:
  1. Classify the triangle by its angles:
  1. Classify the triangle by its angles:
  1. Classify the triangle: (all that applies)
  1. What are the properties of Trapezoids?
  1. How many different quadrilaterals are there? Name them.
  1. Label the diagram with the following shapes and their properties.

Square, trapezoid, quadrilateral, rhombus, parallelogram, rectangle

  1. Identify the shape: (everything that applies)

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a.

b.

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Homework

  1. How can triangles be classified?
  1. What kind of triangle is this?
  1. Classify the triangle by its sides:
  1. Classify the triangle by its angles:
  1. Classify the triangle by its angles:
  1. Classify the triangle: (all that applies)
  1. What are the properties of a square?
  1. How many kind of quadrilaterals are there? Name them.
  1. Label the diagram with the following shapes and the properties for each section.

Square, trapezoid, quadrilateral, rhombus, parallelogram, rectangle

  1. Identify the shape: (everything that applies)

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a.

b.

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Coordinate plane

Classwork

  1. In a coordinate plane which line is the x- axis, and which line is the y- axis?
  1. What is the point at which the x and y axes intersect? Give its coordinates.
  1. Give the coordinates for each point:

  1. Plot the following points:

(5, 2) ; (3, 3) ; (4, 5) ; (6, 1)

Homework

  1. In a coordinate plane, what are the horizontal and vertical lines called?
  1. What is the point at which the x and y axes intersect? Give its coordinates.

  1. Give the coordinates for each point:

  1. Plot the following points:

(2,4) ; (3,6) ; (1,3) ; (5,4)

First quadrant

Classwork

  1. Which point will create a trapezoid? (Plot it and give the coordinates.)
  1. What kind of figure is this? Give the coordinates.

a.

b.

  1. 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.)

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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.

  1. 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?

  1. 1050
  2. 1150
  3. 1200
  4. 1250

Homework

  1. Which point will create a right isosceles triangle? (Plot it and give the coordinates.)
  1. What kind of figure is this? Give the coordinates.

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a.

b.

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  1. 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.)

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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 unitcloser to the

y-axis than Post Office.

  1. 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?

  1. 50
  2. 200
  3. 400
  4. 500

Geometry Unit Review

Multiple Choice Questions

1)Which of the following is a polygon?

a. b.

c. d.

2. How many sides does an octagon have?

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a. 6

b. 5

c. 7

d. 8

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3. How many sides does a heptagon have?

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a. 6

b. 5

c. 7

d. 8

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4. What is the name of a polygon with 6 sides?

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a. pentagon

b. hexagon

c. heptagon

d. sixagon

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5. What is the name of a polygon with 4 sides?

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a. fouragon

b. pentagon

c. quadrilateral

d. square

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6. Which of the following polygons are irregular?

a. b. b.

c. d.

7. How many sides are equal on an isosceles triangle?

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a. 1

b. 2

c. 3

d. none

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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.

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)

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.

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)

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.

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

  1. a. no

b. yes

c. yes

  1. a. no

b. no

c. no

  1. simple, closed plane figure made up of 3 or more line segments that do not intersect.
  2. by it’s name
  3. 4
  4. 9
  5. 12
  6. depending on if their angles and sides are congruent or not
  7. a. regular

b. irregular

c. irregular

  1. angles or sides
  2. equilateral triangle
  3. scalene triangle
  4. right triangle
  5. acute triangle
  6. isosceles right triangle
  7. exactly one pair of parallel sides
  8. 5: parallelogram, trapezoid, rectangle, square, rhombus
  9. Diagram in slide notes
  10. a. square

b. rhombus

  1. angles or sides
  2. isosceles triangle
  3. equilateral triangle
  4. obtuse triangle
  5. obtuse triangle
  6. obtuse triangle
  7. four right angles and four congruent sides
  8. 5: parallelogram, trapezoid, rectangle, square, rhombus
  9. Diagram in slide notes
  1. a. quadrilateral, parallelogram, rhombus

b. quadrilateral, parallelogram, trapezoid

  1. origin, (0,0)
  2. A (1,1); B(2,5); C(4,2)
  1. axis
  2. origin, (0,0)
  3. A(2,1); B(5,5); C(1,3)
  1. (1,3)
  2. a. parallelogram, (2,5); (7,5); (8,8); (3,8)

b. pentagon, (3,3); (3,6); (6,6); (7,4); (6,3)

  1. B,C,D
  2. D
  3. (2, 7)
  4. a. equilateral triangle, (2,3); (8,3); (5,8)

b. trapezoid, (1,4); (9,4); (7,8); (3,8)

  1. A,D
  2. D

Unit Review Answer Key

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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

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