G.CO.A.3 ASSESSMENT – geometrycommoncore 1

MULTIPLE CHOICE

1. Line Symmetry is the same as:

A) Rotational Symmetry B) Point Symmetry

C) Translation Symmetry D) Reflectional Symmetry

2. When a line divides a shape into two congruent parts that line is known as:

A) the line of symmetry B) the line of axis

C) the dividing line D) the transversal line

3. How many lines of symmetry does the shape have?

A) 1 line of symmetry B) 2 lines of symmetry

C) 3 lines of symmetry D) 4 lines of symmetry

4. How many lines of symmetry does the butterfly have?

A) 1 line of symmetry B) 2 lines of symmetry

C) 3 lines of symmetry D) 4 lines of symmetry

5. How many lines of symmetry does the flower have?

A) 1 line of symmetry B) 3 lines of symmetry

C) 6 lines of symmetry D) 9 lines of symmetry

6. How many lines of symmetry does the Z have?

A) 0 lines of symmetry B) 1 lines of symmetry

C) 6 lines of symmetry D) 9 lines of symmetry

7. How many lines of symmetry does the square flag have?

A) 1 line of symmetry B) 2 lines of symmetry

C) 4 lines of symmetry D) 8 lines of symmetry

G.CO.A.3 ASSESSMENT – geometrycommoncore 28. How many lines of symmetry does the parallelogram have?

A) 0 lines of symmetry B) 1 line of symmetry

C) 2 lines of symmetry D) 4 lines of symmetry

9. Why can’t a 5 foot by 7 foot flag have 4 lines symmetry?

A) It would be too complex. B) The shape of a flag is a rectangle.

C) Often flags have a special logo in them D) The use of vertical and horizontal strips.

10. This shape has:

A) Only Rotational Symmetry B) Only Reflectional Symmetry

C) Both Rotational & Reflectional Symmetries D) Neither symmetry

11. This shape has:

A) Only Rotational Symmetry B) Only Reflectional Symmetry

C) Both Rotational & Reflectional Symmetries D) Neither symmetry

12. What is the angle of rotational symmetry when the order is 3?

A) 30 B) 60 C) 90 D) 120

13. What is the angle of rotational symmetry when the order is 10?

A) 18 B) 36 C) 45 D) 72

14. If you have a rotational symmetry angle of 18, then your order is:

A) 2 B) 5 C) 10 D) 20

15. If you have a rotational symmetry angle of 360, then your order is:

A) 0 B) 1 C) 2 D) 4

16. Which group of quadrilaterals all have both line and rotational symmetry?

A) Kite, Parallelogram B) Rectangle, Kite, Rhombus

C) Square, Rhombus, Rectangle D) Rectangle, Square, Parallelogram

17. Which of the following has exactly one line of symmetry?

G.CO.A.3 ASSESSMENT – geometrycommoncore 3A) A Rectangle B) An Isosceles Trapezoid C) A Rhombus D) A Parallelogram

18. Which shape has doesn’t have point symmetry?

A) B) C) D)

19. If a 5 sided polygon had 5 lines of symmetry and a rotational order of 5, the best name for it would be:

A) Symmetrical B) Regular C) Special D) Perfect

20. Which of the following would have the greatest lines of symmetry?

A) A Square B) Irregular Hexagon C) Equilateral Triangle D) Regular Hexagon

21. Which of the follow doesn’t have both rotational and reflectional symmetry?

A) Parallelogram B) Rhombus C) Equilateral Triangle D) Rectangle

22. Which flag has 2 lines of symmetry and an order 2 rotational symmetry?

A) Bahama’s B) Austria C) Bouvet Island D) Canada

Answers:

1. D 2. A 3. C 4. A 5. C 6. A 7. C 8. A

9. B 10. C 11. B 12. D 13. B 14. D 15. B 16. C

17. B 18. D 19. B 20. D 21. A 22. B

G.CO.A.3 ASSESSMENT – geometrycommoncore 4

TRUE/FALSE

1. If a shape has line symmetry then it cannot have rotational symmetry. T or F

2. It is impossible to have a shape with 3 lines of symmetry. T or F

3. The maximum lines of symmetry of a n sided polygon is n. T or F

4. A rectangle has only 2 lines of symmetry. T or F

5. A regular hexagon has 5 lines of symmetry. T or F

6. Line symmetry and Reflectional symmetry are the same types of symmetry. T or F

7. The maximum number of lines of symmetry of a polygon is always found in its regular form. T or F

8. If a shape has a rotational order of 1, then it has NO rotational symmetry. T or F

9. A rotational symmetry of order 2 means that the angle of the order is 90. T or F

10. If you have a rotational symmetry of order 2, then you have point symmetry. T or F

11. A generic trapezoid has no line symmetry and no rotational symmetry. T or F

For questions 12 – 13 use the diagram showing regular hexagon DEFGHI

A

I

H

FG

D

E

12. A reflection across carries regular hexagon DEFGHI onto itself.

True or False

13. A rotation 180 about Point A carries regular hexagon DEFGHI onto itself.

True or False

Answers:

1. F 2. F 3. T 4. T 5. F 6. T 7. T 8. T

9. F 10. T 11. T 12. T 13. T

G.CO.A.3 ASSESSMENT – geometrycommoncore 5

SHORT ANSWER

1. Draw in the lines of symmetry for each of the shapes. If none, leave the diagram blank.

a) b) c) d)

(Regular Pentagon)e) f) g) h)

Answers:

2. Determine the rotational symmetry order and angle of rotation for each diagram. If none, write 1.

a) b) c) d)

(Regular Pentagon)Order = _______ Angle = _______

Order = _______ Angle = _______

Order = _______ Angle = _______

Order = _______ Angle = _______

e) f) g) h)

G.CO.A.3 ASSESSMENT – geometrycommoncore 6Order = _______ Angle = _______

Order = _______ Angle = _______

Order = _______ Angle = _______

Order = _______ Angle = _______

Answers: a) 1 (360) b) 2 (180) c) 5 (72) d) 6 (60) e) 2 (180) f) 3 (120) g) 2 (180) h) 4 (90)

3. Draw a figure that meets the given symmetry requirements. It must have:

a) has exactly 2 lines of symmetry and is not a rectangle.

b) has rotational symmetry and reflectional symmetry

c) exactly one line of symmetry

Answers:

4. Given the shape, shade it so it has:

a) exactly one line of symmetry

b) exactly one line of symmetry

(different line from a)

c) exactly two lines of symmetry

d) exactly four lines of symmetry

Answers:

G.CO.A.3 ASSESSMENT – geometrycommoncore 7

5. Given the shape, shade it so that it has reflectional symmetry.

a) Order 2 b) Order 2 c) Order 4 d) Order 4

Answers:

6. Each figure shows part of a shape with a center of rotation and a given rotational symmetry. Complete the figure.a) Order 4 b) Order 2 c) Order 3

Answers:

G.CO.A.3 ASSESSMENT – geometrycommoncore 8

G.CO.A.3 ASSESSMENT – geometrycommoncore 9

LONG ANSWER

1. Create a flag that has:

a) 1 line of symmetry b) 2 lines of symmetry c) 2 lines of symmetry and an order 2 rotational symmetry

Answer: (possible answers)

2. Using the alphabet provided, place them into the proper locations of the Venn diagram. Vertical – Letters with a vertical line of symmetry. Horizontal – Letters with a horizontal line of symmetry.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Answer: (O is considered to be oval not circular)

ZY

XWV

UT

SR

QP

O

N

M

L

K

J

IH

GF

EDCBA

G.CO.A.3 ASSESSMENT – geometrycommoncore 103. Using the alphabet provided, place them into the proper locations of the Venn diagram. Rotation – Letters with rotation symmetry. Reflection – Letters with reflection symmetry.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Answer: (O is considered to be oval not circular)

Z YX

W

VU

TS

RQ P

O

N M

L

K

J

IH

G

F

E

DC

BA