What set of transformations could be applied to rectangle abcd to create a'b'c'd'?
rectangle formed by ordered pairs a at negative 4, 2, b at negative 4, 1, c at negative 1, 1, d at negative 1, 2. second rectangle transformed formed by ordered pairs a prime at negative 4, negative 2, b prime at negative 4, negative 1, c prime at negative 1, negative 1, d prime at negative 1, negative 2. reflected over the x-axis and rotated 180° reflected over the y-axis and rotated 180° reflected over the x-axis and rotated 90° counterclockwise reflected over the y-axis and rotated 90° counterclockwise

Reflection over the y-axis and rotation of 180°

Step-by-step explanation:

We have,

Rectangle ABCD with co-ordinates A(-4,2), B(-4,1), C(-1,1) and D(-1,2).

It is transformed to a new rectangle A'B'C'D' with co-ordinates A'(-4,-2), B'(-4,-1), C'(-1,-1) and D'(-1,-2).

The graph of both the triangles is shown below.

We see that,

The rectangle ABCD is reflected about y-axis and then rotated 180° to obtain A'B'C'D'.

                      Reflected about y-axis                     Rotation of 180°

A= (-4,2)                     (4,2)                                              A'= (-4,-2)

B= (-4,1)                      (4,1)                                                B'= (-4,-1)

C= (-1,1)                       (1,1)                                                 C'= (-1,-1)

D= (-1,2)                      (1,2)                                                 D'= (-1,-2)

Hence, the second rectangle is formed by: Reflection over the y-axis and rotation of 180°.

step-by-step explanation:

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