Geometry and Measurement: Rotation

The video tutorial explains how to rotate a quadrilateral ABCD around the origin by -180°. It details the transformation of each point: A, B, C, and D, into their new positions by converting their coordinates to negative values. The tutorial then guides on connecting these points to form the new quadrilateral. Finally, it generalizes the process for rotating any shape on the Cartesian plane, regardless of the number of sides or rotation angle.

What happens to a point (X, Y) when it is rotated by 180° about the origin?

• It becomes (-X, -Y)

• It remains unchanged

• It becomes (Y, X)

• It becomes (X, -Y)

After rotating point A, which was originally at (0, 4), what are its new coordinates?

• (0, -4)

• (4, 0)

• (0, 4)

• (-4, 0)

What are the new coordinates of point B after a -180° rotation if it was originally at (4, 4)?

• (4, 4)

• (-4, -4)

• (4, -4)

• (-4, 4)

Which point remains unchanged after a -180° rotation about the origin?

• (1, 1)

• (-1, -1)

• (2, 2)

• (0, 0)

What is the final step after obtaining the new coordinates of the quadrilateral's vertices?

• Join the points to form the new quadrilateral

• Translate the points by a vector

• Reflect the points over the x-axis

• Calculate the area of the quadrilateral