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.

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

Is the diagram shown a representation of a glide reflection?

• yes

• no

• yes

• no

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?

Evaluate responses using AI:

OFF

Describe a sequence of rigid motions that would map \Delta ABC\ onto\ \Delta A''B''C''

Evaluate responses using AI:

OFF

The pentagon in the graph will be reflected about the y-axis and then translated 9 units down.

Which of the following represents the pentagon’s position after the sequence of transformations?

• 
• 
• 
• 

Determine the image of C after it's first translated by the rule

(x, y) → (x − 2, y + 5)

and is then reflected over the y-axis.

• C"(-1, 4)

• C"(1, 4)

• C"(6, -3)

• C"(-3, 6)

Which type of rigid motion is the equivalent of three reflections in two parallel lines and another line perpendicular to them?

• glide reflection

• translation

• rotation

• reflection

One possible sequence of rigid motions is to reflect the red figure in the x-axis and then translate the image ___ units left.

• 0

• 1

• 2

• 3