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Rectangle A’B’C’D is similar to rectangle ABCD, as shown on the coordinate plane below. Which sequence or transformations maps rectangle ABCD onto rectangle A’B’C’D

Respuesta :

Answer:

B. A reflection over the y-axis, then a dilation by scale factor of 1/2 with a center of dilation at the origin.

Step-by-step explanation:

In the picture attached, the complete question is shown.

Coordinates of points:

A (2, 4)

B (6, 4)

C (6, 2)

D (2, 2)

After reflection over the y-axis:

(x, y) -> (-x, y)

A (2, 4) -> (-2, 4)

B (6, 4) -> (-6, 4)

C (6, 2) -> (-6, 2)

D (2, 2) -> (-2, 2)

After dilation by scale factor of 1/2 with a center of dilation at the origin:

(x, y) -> (x/2, y/2)

(-2, 4) -> (-1, 2) A'

(-6, 4) -> (-3, 2) B'

(-6, 2) -> (-3, 1) C'

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

Ver imagen jbiain

The reflection over the [tex]y-axis[/tex]  then a dilation by the factor of

[tex]\frac{1}{2}[/tex] with a center of dilation at the origin.

Reflection of the point:

Reflecting on the [tex]y-axis[/tex] we get the rectangle A, B, C, D.

A dilation by the factor of [tex]\frac{1}{2}[/tex] with the center of dilation at the origin transforms the rectangle A, B, C, D onto the rectangle A'B'C'D'.

So, the reflection over the [tex]y-axis[/tex]  then a dilation by the factor of [tex]\frac{1}{2}[/tex]  with a center of dilation at the origin.

The image is attached below.

Learn more about the topic reflection of the point:

https://brainly.com/question/26002200

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