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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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.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

step-by-step explanation: