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 ° counterclockwiseD. Reflected over the y-axis and rotated 90 ° counterclockwise

Respuesta :

The parallelogram ABCD was transformed to create A"B"C"D"  using reflected over the y-axis and rotated 180⁰. So, answer is option B.

Define 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 sections by the diagonals.

Their opposing angles line up.

At a midway, the diagonals come together.

Using a series of transformations, we can create a new figure with the same dimensions but different coordinates if a parallelogram is in the Cartesian plane.

Firstly, we make a reflection over y-axis obtaining new co-ordinates of the parallelogram. i.e; A'B'C'D'

Now, to obtain the new co-ordinates A"B"C"D" apply the rotation rule at 180⁰.

Therefore to convert ABCD to A"B"C"D" first reflect over y-axis and then rotate to 180⁰

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