Sequences of Transformations and Congruent Figures

Identify the sequences of transformations from the red image to the blue image.

• reflection over the y-axis then rotation of $90\degree$  counterclockwise

• translation of 2 units to the right then rotation of $90\degree$ clockwise

Are these figures congruent?

• Yes

• No

• Rotation and Rotation

• Rotation and Dilation

• Translation and Reflection

• Reflection and Rotation

Describe the sequence of TWO transformations.

• Reflect across

  x-axis.

• Translate 7 units left.

• Reflect across

  y-axis.

Describe the sequence of TWO transformations.

• Reflect across

  x-axis.

• Translate 7 units right.

• Reflect across

  y-axis.

Which sequence of transformations will result from shape F to its image shape F''?

• Reflection over both axes

• Reflection and Rotation

• Translation and Reflection

• Rotation and Translation

Was the orientation preserved or changed?

• Changed

• Preserved

Was the orientation preserved or changed?

• Preserved

• Changed

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes

What sequence of transformations will get you from shape 1 to shape 3 in two steps?

• Reflection, then Translation

• Translation, then Rotation

• Reflection, then Rotation

• Rotation, then Translation