Glide Reflection and Sequences

Is the diagram an example of a glide reflection?

• Yes, the direction of the translation is parallel to the line of reflection.

• No, the direction of the translation is not parallel to the line of reflection.

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Which of the following is the correct sequence of transformations that maps triangle ABC onto triangle DEF?  

• A reflection over the x-axis followed by a translation moving up. 

• A reflection over the y-axis followed by a translation moving up . 

• A reflection through the origin followed by a translation moving down. 

• A translation moving down followed by a reflection over the y-axis. 

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which sequence maps pentagon ABCDE onto pentagon A"B"C"D"E"?

• dilation followed by a rotation

• translation followed by a rotation

• line reflection followed by a translation

• a rotation of 180 degrees

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

• a reflection followed by a translation

• a rotation followed by a translation

• a translation followed by a reflection

• a translation followed by a rotation

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Which sequence of transformations maps triangle ABC onto triangle DEF?

• a reflection over the y-axis followed by a reflection over the x-axis

• a 180 degree rotation about the origin followed by a reflection over the line y=2

• a 90 degree clockwise rotation about the origin followed by a reflection over the line y=x

• a translation 8 units to the right and 1 unit up followed by a 90 degree counterclockwise rotation about the origin

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Is the diagram shown a representation of a glide reflection?

 $\Delta ABC\cong\Delta DEF$  

(*hint* - rename one of the triangles as A'B'C' or D'E'F')

• yes

• no

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Given  $\Delta ABC\cong\Delta RST$ .  Is the mapping considered a glide reflection?  

• yes

• no

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Describe a sequence of transformations that will map triangle ABC onto triangle DEF as shown. Is the sequence you found considered a glide reflection? Why or why not?

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OFF

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Describe a sequence of rigid motions that would map

 $\Delta ABC\ onto\ \Delta A''B''C''$ . 

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Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6