Rectangle WXYZ is dilated with center (0,0) and scale factor 3/2, then reflected over the x-axis.Which are the coordinates of the point in the transformed image that corresponds to vertex W?

Hint: W (1, -2) Scale factor of 3/2 = 1.5 Multiply the point by 1.5 to find the new point. Then reflect over the x-axis.
(Answer choises in pictures.)

Rectangle WXYZ is dilated with center 00 and scale factor 32 then reflected over the xaxisWhich are the coordinates of the point in the transformed image that c class=
Rectangle WXYZ is dilated with center 00 and scale factor 32 then reflected over the xaxisWhich are the coordinates of the point in the transformed image that c class=

Respuesta :

Answer:

A. [tex](\frac{3}{2},3)[/tex]

Step-by-step explanation:

The mapping for  a dilation with center (0,0) scale factor [tex]k[/tex] is

[tex](x,y)\to (kx,ky)[/tex]

Also a reflection over the x-axis has the mapping

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

A dilation with center (0,0) scale factor [tex]\frac{3}{2}[/tex] followed by a reflection over the x-axis will yield.

[tex]W(1,-2)\to (\frac{3}{2}\times1,\frac{3}{2}\times -2)\to W'(\frac{3}{2},3)[/tex]

The correct choice is A.

Rectangle WXYZ is dilated with center (0,0) and scale factor 3/2, then reflected over the x-axis to get W"(3/2, 3)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

W has coordinate at W(1, -2). If a dilation of 3/2 is done, the new point is W'(3/2, -3). If it is reflected over the x axis, the point is at W"(3/2, 3)

Rectangle WXYZ is dilated with center (0,0) and scale factor 3/2, then reflected over the x-axis to get W"(3/2, 3)

Find out more on transformation at: https://brainly.com/question/1620969