Exam 11: The Mathematics of Symmetry: Beyond Reflection

Consider the diagram shown below. Triangle ABC has been mapped to triangle A, B,C, using a single rigid motion. What type of rigid motion was done to complete this mapping?

(Multiple Choice)

4.8/5

(39)

Question 21

How many reflection symmetries does the following object have?

(Short Answer)

4.8/5

(40)

Question 22

-Consider the diagram shown below ; under a glide reflection with axis l1 , triangle XYZ is mapped so that the image of point X is point P. What are the (,x y) coordinates of the image of point Y under this same glide reflection?

(Short Answer)

4.9/5

(39)

Question 23

How many reflection symmetries does the following object have?

(Multiple Choice)

4.8/5

(39)

Question 24

A counterclockwise rotation by an angle of 6500° is equivalent to a clockwise rotation between 0° and 360°. What is the value of this clockwise rotation?

(Short Answer)

4.9/5

(33)

Question 25

A two-dimensional object undergoes a clockwise rotation of 500° followed by a counterclockwise rotation of 140°. Surprisingly, the object has not moved from its original position. Explain.

(Essay)

4.7/5

(43)

Question 26

A counterclockwise rotation by an angle of 8450° is equivalent to a clockwise rotation between 0° and 360°. What is the value of this clockwise rotation?

(Multiple Choice)

4.8/5

(30)

Question 27

Consider the diagram from problem 1; under a glide reflection with axis l1 , triangle XYZ is mapped so that the image of point Y is point R. What are the (,x y) coordinates of the image of Point Z under this same glide reflection?

(Multiple Choice)

4.9/5

(43)

Question 28

Including the identity symmetry, how many rotation symmetries does the following object have?

(Short Answer)

4.8/5

(36)

Question 29

Consider the diagram shown below. What are the (x, y) coordinates of the image of point R under a reflection with axis i1 ?

(Multiple Choice)

4.8/5

(33)

Question 30

How many reflection symmetries does the following object have?

(Multiple Choice)

4.7/5

(35)

Question 31

A counterclockwise rotation by an angle of 7500° is equivalent to a clockwise rotation between 0° and 360°. What is the value of this clockwise rotation?

(Multiple Choice)

4.8/5

(30)

Question 32

-Consider the diagram shown above ; what are the (,x y) coordinates of the image of point X under a 90° clockwise rotation with rotocenter A?

(Short Answer)

4.9/5

(37)

Question 33

Classify the border pattern shown below by its symmetry type. Use the standard crystallographic notation ( mm, mg, m1,1m, 1g, 12 or 11). (a) mm (b) mg (c) m1 (d) 1m (e) None of the above.

(Short Answer)

4.8/5

(40)

Question 34

Consider the diagram shown below. Triangle ABC has been mapped to triangle A'B'C' using a single rigid motion. What type of rigid motion was done to complete this mapping?

(Multiple Choice)

5.0/5

(40)

Question 35

Consider the diagram shown below. What are the (,x y) coordinates of the image of point Q under a reflection with axis l1 ?

(Short Answer)

4.8/5

(40)

Question 36

What is the symmetry type of the object shown below? What is the symmetry type of the object shown below?

(Multiple Choice)

4.9/5

(30)

Question 37

Consider the diagram shown below. What are the ( , ) x y coordinates of the image of point R under a reflection with axis l1 ?

(Multiple Choice)

4.8/5

(38)

Question 38

Including the identity symmetry, how many rotation symmetries does the following object have?

(Short Answer)

4.9/5

(40)

Question 39

Including the identity symmetry, how many rotation symmetries does the following object have?

(Multiple Choice)

4.7/5

(38)

Question 40

Showing 21 - 40 of 40

Consider the diagram shown below. Triangle ABC has been mapped to triangle A, B,C, using a single rigid motion. What type of rigid motion was done to complete this mapping?

How many reflection symmetries does the following object have?

-Consider the diagram shown below ; under a glide reflection with axis l1 , triangle XYZ is mapped so that the image of point X is point P. What are the (,x y) coordinates of the image of point Y under this same glide reflection?

How many reflection symmetries does the following object have?

A counterclockwise rotation by an angle of 6500° is equivalent to a clockwise rotation between 0° and 360°. What is the value of this clockwise rotation?

A two-dimensional object undergoes a clockwise rotation of 500° followed by a counterclockwise rotation of 140°. Surprisingly, the object has not moved from its original position. Explain.

A counterclockwise rotation by an angle of 8450° is equivalent to a clockwise rotation between 0° and 360°. What is the value of this clockwise rotation?

Consider the diagram from problem 1; under a glide reflection with axis l1 , triangle XYZ is mapped so that the image of point Y is point R. What are the (,x y) coordinates of the image of Point Z under this same glide reflection?

Including the identity symmetry, how many rotation symmetries does the following object have?

Consider the diagram shown below. What are the (x, y) coordinates of the image of point R under a reflection with axis i1 ?

How many reflection symmetries does the following object have?

A counterclockwise rotation by an angle of 7500° is equivalent to a clockwise rotation between 0° and 360°. What is the value of this clockwise rotation?

-Consider the diagram shown above ; what are the (,x y) coordinates of the image of point X under a 90° clockwise rotation with rotocenter A?

Classify the border pattern shown below by its symmetry type. Use the standard crystallographic notation ( mm, mg, m1,1m, 1g, 12 or 11). (a) mm (b) mg (c) m1 (d) 1m (e) None of the above.

Consider the diagram shown below. Triangle ABC has been mapped to triangle A'B'C' using a single rigid motion. What type of rigid motion was done to complete this mapping?

Consider the diagram shown below. What are the (,x y) coordinates of the image of point Q under a reflection with axis l1 ?

What is the symmetry type of the object shown below? What is the symmetry type of the object shown below?

Consider the diagram shown below. What are the ( , ) x y coordinates of the image of point R under a reflection with axis l1 ?

Including the identity symmetry, how many rotation symmetries does the following object have?

Including the identity symmetry, how many rotation symmetries does the following object have?

The Mathematics of Elections: the Paradoxes of Democracy

The Mathematics of Power: Weighted Voting

The Mathematics of Sharing: Fair-Division Games

The Mathematics of Apportionment: Making the Rounds

The Mathematics of Getting Around: Euler Paths and Circuits

The Mathematics of Touring: Traveling Salesman Problems

The Cost of Being Connected

The Mathematics of Scheduling: Chasing the Critical Path

Population Growth Models: There Is Strength in Numbers

Financial Mathematics: Money Matters

Fractal Geometry: the Kinky Nature of Nature

Fibonacci Numbers and the Golden Ratio: Tales of Rabbits and Gnomons

Censuses, Surveys, Polls, and Studies: the Joys of Collecting Data

Graphs, Charts, and Numbers: the Data Show and Tell

Probabilities, Odds, and Expectations: Measuring Uncertainty and Risk

The Mathematics of Normality: the Call of the Bell

Filters