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What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?
A. Reflected over the x-axis and rotated 180°
B. Reflected over the y-axis and rotated 180°
C. Reflected over the x-axis and rotated 90° counterclockwise
D. Reflected over the y-axis and rotated 90° counterclockwise

Sagot :

KhiradAfaqidn

The parallelogram is transformed to create A"B"C"D" as ,

The reflected over the y-axis and rotated 180°.

What is parallelogram?

A parallelogram is a four-sided geometric shape where each side's opposites coincide. The square, rectangle, rhombus, and rhomboid are a few examples.

The following traits of parallelograms are crucial:

The parallelogram is divided into two equal parts by the diagonals.

Their opposing angles line up.

At a midpoint, the diagonals come together.

First, let's extract the points of the parallelogram

A(-4, 1), B(-3, 2), C(-1, 2), D(-2, 1).

We make a reflection on the y-axis, obtaining new coordinates of the parallelogram:

A'(4, 1), B'(3, 2), C'(1, 2), D'(2, 1).

Apply the 180 degrees rotation rule.

(x, y) → (-x, -y)

A''(-4, -1),  B"(-3, -2),   C"(-1, -2),   D"(-2, -1).

The parallelogram is transformed to create A"B"C"D" as ,

The reflected over the y-axis and rotated 180°.

Hence, the option B is correct.

To know more about parallelogram, click on the link

https://brainly.com/question/970600

#SPJ4

The graph of the question is attached below.

View image KhiradAfaq
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