Contents
- 1 What happens when you rotate a rectangle around the Y axis?
- 2 Can a rectangle be rotated?
- 3 What are the transformation equations for rotation?
- 4 Which 3d solid is created when the rectangle is rotated about the horizontal line?
- 5 What is angle of rotation of a rectangle?
- 6 What three dimensional shape is made when you rotate a rectangle horizontally?
What happens when you rotate a rectangle around the Y axis?
When we rotate this rectangle about y-axis, three dimensional shape cylinder is formed.
Can a rectangle be rotated?
A rectangle is an example of a shape with rotation symmetry. A rectangle can be rotated 180∘about its center and it will look exactly the same and be in the same location. The only difference is the location of the named points. A rectangle has half-turn symmetry, and therefore is order 2.
What are the transformation equations for rotation?
Rotation Formula
| Type of Rotation | A point on the Image | A point on the Image after Rotation |
|---|---|---|
| Rotation of 90° (CounterClockwise) | (x, y) | (-y, x) |
| Rotation of 180° (Both Clockwise and Counterclockwise) | (x, y) | (-x, -y) |
| Rotation of 270° (Clockwise) | (x, y) | (-y, x) |
| Rotation of 270° (CounterClockwise) | (x, y) | (y, -x) |
What are the rules for rotations in geometry?
Rotations About The Origin
- 90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).
- 180 Degree Rotation. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).
- 270 Degree Rotation.
What 3d shape is formed by rotating a rectangle around the Y-axis?
A rectangle, shown in the coordinate plane (below, left), is to be rotated about the y-axis. Sketch the resulting solid on the grid and find its volume in cubic units. The 3-D sketch, which is a cylinder, is shown below on the right.
Which 3d solid is created when the rectangle is rotated about the horizontal line?
When the rectangle is revolved about line a, a rectangular prism is formed. The volume of the solid formed when the rectangle is rotated about line a is 72π cubic units.
What is angle of rotation of a rectangle?
The angle of rotation of a rectangular figure is 360°
What three dimensional shape is made when you rotate a rectangle horizontally?
Now, you rotate it around the y-axis. The created figure will be a cylinder with a radius and height depending on the measures of the original rectangle.
What is the formula for 180 degree rotation?
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .