Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilaterat ABCD will be reflected across the x-axis and then rotated 90 clockwise about the origin to create quadrilateral A^ prime B^ prime C^ prime D^ prime . What will be the y -coordinate of B?

Quadrilaterals ABCD and EFGH are shown in the coordinate plane Quadrilaterat ABCD will be reflected across the xaxis and then rotated 90 clockwise about the ori class=

Respuesta :

Answer:

Step-by-step explanation:

180 degree rotation about point C prime composition reflected across line m

Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.

The y-coordinate of B" is 3

The coordinates of vertex B of quadrilateral ABCD is:

[tex]\mathbf{B = (-3,7)}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{B' = (-3,-7)}[/tex]

The rule of 90 degrees clockwise rotation across the origin is:

[tex]\mathbf{(x,y) \to (y,-x)}[/tex]

So, we have:

[tex]\mathbf{B" = (-7,3)}[/tex]

Hence, the y-coordinate of B" is 3

Read more about transformation at:

https://brainly.com/question/18549175