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Student: Class: Date: Transformational geometry and similarity Block 1 Student Activity Sheet Copyright 2015 Agile Mind, Inc. ® Content copyright 2015 Charles A. Dana Center, The University of Texas at Austin Page 1 of 7 1. What is a transformation? 2. For each figure below, perform the stated transformation. a. Reflect ABC across the y–axis. b. Translate the triangle down 5 units.

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Student: Class: Date:

Transformational geometry and similarity Block 1 Student Activity Sheet

Copyright 2015 Agile Mind, Inc. ® Content copyright 2015 Charles A. Dana Center, The University of Texas at Austin

Page 1 of 7

1. What is a transformation?

2. For each figure below, perform the stated transformation. a. Reflect ∆ABC across the y–axis.

b. Translate the triangle down 5 units.

Student: Class: Date:

Transformational geometry and similarity Block 1 Student Activity Sheet

Copyright 2015 Agile Mind, Inc. ® Content copyright 2015 Charles A. Dana Center, The University of Texas at Austin

Page 2 of 7

c. Rotate FLAGS 90° counter-clockwise about the origin.

d. Dilate the triangle by a scale factor of 3.

3. What does it mean for a figure to have symmetry?

Student: Class: Date:

Transformational geometry and similarity Block 1 Student Activity Sheet

Copyright 2015 Agile Mind, Inc. ® Content copyright 2015 Charles A. Dana Center, The University of Texas at Austin

Page 3 of 7

4. What is a reflection? Give an example from the wrapping paper designs.

5. What is a translation? Give an example from the wrapping paper designs.

6. What is a rotation? Give an example from the wrapping paper designs.

7. What is a dilation? Give an example from the wrapping paper designs.

Student: Class: Date:

Transformational geometry and similarity Block 1 Student Activity Sheet

Copyright 2015 Agile Mind, Inc. ® Content copyright 2015 Charles A. Dana Center, The University of Texas at Austin

Page 4 of 7

8. REINFORCE For each image below, trace and label examples of different transformations within each image. a. A flag

b. A card

Student: Class: Date:

Transformational geometry and similarity Block 1 Student Activity Sheet

Copyright 2015 Agile Mind, Inc. ® Content copyright 2015 Charles A. Dana Center, The University of Texas at Austin

Page 5 of 7

c. Photographs

Student: Class: Date:

Transformational geometry and similarity Block 1 Student Activity Sheet

Copyright 2015 Agile Mind, Inc. ® Content copyright 2015 Charles A. Dana Center, The University of Texas at Austin

Page 6 of 7

9. Geometric transformations are often used in designs found in artwork, like REINFORCEthe Moroccan mosaic shown. Trace and label examples of any transformations you see in the mosaic.

Student: Class: Date:

Transformational geometry and similarity Block 1 Student Activity Sheet

Copyright 2015 Agile Mind, Inc. ® Content copyright 2015 Charles A. Dana Center, The University of Texas at Austin

Page 7 of 7

10. Look around your home, school, or neighborhood to find an example of each REINFORCEtype of transformation. Record your examples below. a. Reflection:

b. Translation:

c. Rotation:

d. Dilation:

11. Select one of the transformations you have studied (reflection, translation, REINFORCErotation, or dilation) and sketch an example. Label the transformation on your sketch.