The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.

Polygon ABCD is to create parallelogram A′B′C′D′.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Polygon ABCD is to create parallelogram A″B″C″D″.
-reflected across the y-axis
-rotated 90 degrees clockwise about the origin
-reflected across the x-axis
-rotated 270 degree clockwise about the origin

Parallelogram ABCD is reflected across the x-axis to create parallelogram A'B'C'D'. Parallelogram A'B'C'D' maintains the same distance from the x-axis for all points. Parallelogram ABCD has positive x-values and positive y-values, and parallelogram A'B'C'D' has positive x-values and negative y-values, which also define this transition.

Parallelogram ABCD has positive x-values and positive y-values. Parallelogram A''B''C''D'' has negative x-values and positive y-values. If we look at point B in both parallelograms, point B in ABCD is located at point (2,3), and point B in A''B''C''D'' is located at point (-3, 2). This means that parallelogram A'B'C'D' was rotated about the origin 270 degrees clockwise, or 90 degrees counter-clockwise, due to the flipping of x and y values and the change in the x-value's sign.

psm22415 psm22415 · Answer 2 · 2022-01-19T06:52:29+01:00

Polygon ABCD is -rotated 270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

Polygon ABCD is rotated 90 degrees clockwise about the origin to create parallelogram A″B″C″D″.

Given that

The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″.

According to the question

1. Polygon ABCD is________ to create parallelogram A′B′C′D′.

The quadrilateral ABCD draws the counterclockwise rotation of 270 degrees centered at the origin.

Suppose point A is attached to the arrow in red from the center (0,0). The arrow is now moved 270 counterclockwise. the new position of A marked A'. A' will also be "on" the axis as A was or is "on" the axis.

Rotation of 270 degrees on Coordinate Axes

Centered at origin

(x, y) → (y, -x )

(2, 3) → (3, -2)

Polygon ABCD is -rotated 270 degrees clockwise about the origin to create parallelogram A′B′C′D′.

2. Polygon ABCD is________ to create parallelogram A″B″C″D″.

Rotation of 90 degrees on Coordinate Axes

(3, -2) -> (2, 3)

Polygon ABCD is rotated 90 degrees clockwise about the origin to create parallelogram A″B″C″D″.

To know more about Rotation click the link given below.

https://brainly.com/question/3511113