Compose Transformations

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

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

What sequence of transformations will get you from shape BCD to shape B"C"D" in two steps?

• Rotation, then Rotation

• Rotation, then Dilation

• Reflection, then Rotation

• Translation, then Reflection

What sequence of transformations will get you from shape 1 to shape 2 to shape 3 in three steps?

• Rotation, then Dilation, then Reflection

• Translation, then Reflection, then Rotation

• Reflection, then
  Dilation, then Rotation

• Dilation, then Translation, then Reflection

What is a sequence of transformations?

• A transformation that includes 1 translation, 1 reflection, and 1 rotation

• Two or more translations, reflections, or rotations that map a preimage to its image

• A graph that includes an image and a preimage

• The coordinates of the vertices of an image and a preimage

Choose the image of ΔPQR and ΔP’Q’R’ after a translation of 2 units right and reflection across the line x = 1

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Figure ABCD has vertices A(1, 1), B(1, 4), C(4, 4), and D(4, 1). True or False? The coordinates of the vertices of Figure A’B’C’D’ after a reflection across the line x = –2 and a translation 3 units up are A'(-5,4) B'(-5,7) C'(-8,7) D'(-8,4)

• True

• False

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the y-axis

• Reflection across the x-axis

• 90^o counter clockwise Rotation

Will the following transformations result in a congruent or similar figure?
1. Reflection over the line x = -3
2. Rotation of 180 degrees, center at (4, 5)

• Congruent

• Similar

• Reflections
• Translations
• Reflections and Rotations
• Translations and Rotations