الهندسة والقياس: الدوران

The video tutorial explains how to rotate a quadrilateral around the origin by -180 degrees. It details the transformation of each vertex, showing how point A becomes (0, -4), point B becomes (-4, -4), point C becomes (-7, 0), and point D remains (0, 0). After transforming the points, they are connected to form the rotated quadrilateral. The tutorial concludes by generalizing the rotation process for any shape on a coordinate grid, regardless of the number of sides or rotation angle.

What happens to a point (x, y) when it is rotated by -180 degrees around the origin?

• It remains (x, y)

• It becomes (x, -y)

• It becomes (-x, -y)

• It becomes (y, x)

After a -180 degree rotation, what are the new coordinates of point B originally at (4, 4)?

• (-4, 4)

• (4, -4)

• (-4, -4)

• (4, 4)

What are the new coordinates of point C after a -180 degree rotation if it starts at (7, 0)?

• (0, 7)

• (-7, 0)

• (7, 0)

• (0, -7)

What remains unchanged after a -180 degree rotation?

• The position of point A

• The position of all points

• The position of the origin

• The position of point B

What can you achieve by following the steps of rotation described in the video?

• Rotate shapes without changing their size

• Only rotate quadrilaterals by -180 degrees

• Rotate shapes only around the origin

• Rotate any shape by any angle on a coordinate grid