Imagine that the rectangle is rotated counterclockwise. make a conjecture as to which properties of a figure stay the same after the rotation. vertices sides angles lengths shape size

When a Geometrical shape is rotated through certain angle

1. Shape and size will not change, that is the two rectangles will be congruent.

2. Length of sides remain same.

3. Each angle of rectangle after rotation  (image)  will be equal to rectangle before rotation (Pre image).

4. Order of vertices changes.You can say it as if pre image was ABCD , then Image can be DABC or CDBA.

5. Length →breadth, and Breadth → Length.(after one rotation,either clockwise or Anticlockwise),so lengths will change.

6.Similarly sides change after a rotation,because . Length →breadth, and Breadth → Length

The properties of rectangle that will remain same are

1. Angles

2. Shape

3. Size