Sequences of Transformations and Congruent Figures

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''? (Remember: You're transforming from purple, to green, to red.)

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

• Rotation, then rotation

• rotation, then dilation

• translation, then reflection

• reflection, then rotation

What symbol is used to show that two figures are congruent?

• ≠

• ≅

• ≡

• =

What is the sequence of transformations for the image given? (Remember: The new Image has the prime symbols.)

• 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)

• Reflection across the x-axis, translation down 4 and right 1.

• Rotation 180° about the origin, translation down 1 and right 2.

• Rotation 180° about the origin, translation down 2 and right 2.

• Reflection across the x-axis, down 6 and right 3.

Triangle ABC is congruent to triangle DEF. Which series of transformations maps DEF onto ABC?

• dilation followed by a reflection

• rotation followed by a dilation

• translation followed by a dilation

• rotation followed by a translation

The figures below are congruent. Which series of transformations maps figure ABCD onto EFGH?

• rotation followed by a translation

• rotation followed by a dilation

• reflection followed by a translation

• reflection followed by a rotation

What sequence of transformations will map trapezoid A to its image A'?

• Reflection, then translation

• Rotation, then translation

• Reflection, then rotation

• Rotation, then dilation

Identify the sequences of transformations from \Delta ABC\ to \Delta A'B'C'\ to \Delta A"b"c.

• Rotation then Translation 

• Rotation then Reflection 

• Rotation then Rotation 

• Reflection then Rotation

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

• translation then translation

• rotation then reflection

• rotation then rotation

• reflection then translation