Classify the sequences of transformations based on whether or not they prove the congruency of the shapes by mapping shape I onto shape II.
a reflection across the y-axis, followed
by a 90° clockwise rotation about the
origin, and then a translation left 18 units
a 90 clockwise rotation about the
origin and then a translation left 18 units
90° counterclockwise rotation about
the origin, followed by a resetion
across the y-axis, and then a
translation left 18 units
a 90 clockwise rotation about the
origin, followed by a reflection across
the y-axis, and then a translation
right 2 units
a 180 rotation about the origin
followed by a reflection across the
yaxis, and then a 90 clockwise
rotation about the angin
a reflection across the y-axis, followed
by a 90 counterclockwise rotation
about the origin, and then a translation
nght 2 units
Maps Shape Ionto Shape il
Does not Map Shape Ionto Shape II

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Answer:

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Maps Shape 1 to Shape 2:

A, D, and B

Does not map shape 1 to shape 2:

C, E, and F

Step-by-step explanation:

Sequence 1, a 90° clockwise rotation about the origin, followed by a reflection across the x-axis, and then a translation 4 units down and 6 units left, maps shape I onto shape II.

Sequence 2, a reflection about the y-axis of shape I and then a 90° clockwise rotation about the origin gives a shape that has the same orientation and direction as shape II. Translating this shape 4 units down and 6 units left maps shape I onto shape II.

Sequence 6, a 90° clockwise rotation of shape I about the origin, gives a shape that has the same orientation and direction as shape II. Translating this shape 16 units up and 6 units left maps shape I onto shape II.

Sequences 3, 4, and 5 do not map shape I onto shape II.

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