Congruent Figures and Sequences of Transformations

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

Congruent means...

• The same angles only.

• The same size, shape and angles.

• The same shape but different size.

• The same transformation.

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)

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

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

Are the figures congruent?

(What type of transformation is shown?)

• Congruent (rotation)

• Congruent (reflection)

• NOT Congruent (rotation)

• NOT Congruent (reflection)

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

• rotation then translation

• translation then rotation

• translation then reflection

• rotation then reflection

• Rotation then Translation 

• Rotation then Reflection 

• Rotation then Rotation 

• Reflection then Rotation

Which of the following describes the sequence of transformations shown? (From A to A' to A'')

• Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

• Rotate 90 degrees clockwise 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 counterclockwise about the origin.