Question

Draw the image of the rotation of quadrilateral SORTS, O, R, T by 270 degrees about the origin.

a) True
b) False
c) Maybe
d) Not applicable

Answer 1

To draw the image of the rotation of a quadrilateral by 270 degrees about the origin, the coordinates of the vertices need to be identified and the rotation formula needs to be applied.

Step-by-step explanation:

To draw the image of the rotation of quadrilateral SORTS by 270 degrees about the origin, we need to identify the coordinates of the vertices of the quadrilateral and apply the transformation. Let's say the coordinates of the vertices are:

• S: (x1, y1)
• O: (x2, y2)
• R: (x3, y3)
• T: (x4, y4)

To rotate the quadrilateral by 270 degrees counterclockwise, we can use the rotation formula:

• New x-coordinate = x * cos(270°) - y * sin(270°)
• New y-coordinate = x * sin(270°) + y * cos(270°)

By plugging in the coordinates of each vertex into this formula, we can find the new coordinates and draw the image of the rotated quadrilateral.