Activities

1. Which transformation does not preserve orientation?
   
   
   1. Translation
   2. Rotation
   3. Reflection
   4. Dilation

2. Triangle ABC is transformed into triangle A’B’C’.  If the position of the original triangle has changed, but it’s size, shape and orientation have been preserved, what transformation was applied?

3. Identify the transformation shown in the graph below.  Justify your answer.

4. A quadrilateral has a perimeter of 55 cm.  What is the perimeter of the quadrilateral after a reflection over the x-axis and a rotation of 90° about the origin?  Justify your answer.

5. Andrew is manipulating a right angle using rotations, reflections and translations.  Is it possible for him to create an image that is an acute angle?  Explain.

6. Shawna drew triangle XYZ shown below.  Translate left 4 units and down 2 units to get .  Compare the two images.

Answer Key/Rubric

1. C

2. Translation

3. Reflection
   Acceptable reasons may include, but are not limited to:

• Shapes are congruent – neither size nor shape changed
• Orientation changed
• Triangle was reflected over the y-axis

4. Perimeter will remain 55 cm.
   Acceptable reasons may include, but are not limited to:

• Reflections and rotations both result in congruent images
• Since the quadrilaterals will be congruent, the perimeters will be the same

5. No
   Acceptable reasons may include, but are not limited to:

• Final angle will remain a right angle
• Rotations, reflection, and translations will all create congruent images
• Congruent images have congruent angle measures, so the angle will not change

6. Graph:

Acceptable comparisons may include, but are not limited to:

• Triangles are congruent
• Orientation was preserved