Compose Transformations

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

Which figure is the image of Figure 1 after a reflection over the y-axis and a translation 3 units down?

• Figure A

• Figure B

• Figure C

• Figure 1

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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Describe the sequence of transformations that maps ΔPQR onto ΔP’Q’R’.

• A rotation of 180 degrees and a translation of 1 unit down

• A rotation of 45 degrees and a translation of 1 unit up

• A rotation of 270 degrees and a translation of 2 units down

• A rotation of 90 degrees and a translation of 2 units up

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

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin
• Rotate -90 degrees around the origin and then translate down.
• Reflect across the x-axis and then reflect across the y-axis.
• Translate up and then rotate 90 degrees about the origin.

What is the sequence of transformations for the image given? 

• Reflect over the x-axis, translate (x+8,y)
• Reflect over the x-axis then translate (x+6, y)
• Reflect over the y-axis then (x+1, y+1)
• Translate down 4 (y-4) and to the right 5 (x+5)

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

Which of the following are congruence transformations?

• Rotations
• Translations
• Reflections
• All Three