3 Ximena draws an X shape in the coordinate plane as shown. Draw the images of
her X shape rotated 90° counterclockwise, 180°, and 270° counterclockwise
around the origin, Label each image with the degree of rotation and direction.
Ay
4
2
Х
-6
-4
-2
6
-2
6
PLEASE HELP ME

Respuesta :

When a shape is rotated, it must be rotated around a point.

See attachment for the image of each rotation.

To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.

The top coordinates of the X shape are:

[tex]A = (0,0)[/tex]

[tex]B = (1,0)[/tex]

[tex]C = (3,0)[/tex]

[tex]D =(4,0)[/tex]

For 90 degrees counterclockwise rotation, the rule is:

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

So, we have:

[tex]A' = (0,0)[/tex]

[tex]B' = (0,1)[/tex]

[tex]C' = (0,3)[/tex]

[tex]D' = (0,4)[/tex]

For 180 degrees rotation, the rule is:

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

So, we have:

[tex]A' = (0,0)[/tex]

[tex]B' = (-1,0)[/tex]

[tex]C' = (-3,0)[/tex]

[tex]D' = (-4,0)[/tex]

For 270 degrees counter rotation, the rule is:

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

So, we have:

[tex]A' = (0,0)[/tex]

[tex]B' = (0,-1)[/tex]

[tex]C' = (0,-3)[/tex]

[tex]D' = (0,-4)[/tex]

See attachment for the image of each rotation

Read more about rotations at:

https://brainly.com/question/1571997

Ver imagen MrRoyal
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