Computer Science, asked by Anonymous, 3 months ago

rotate a triangle defined by A(0,0),B(6,0)&(3,3) by 90° about origin in anticlockwise direction

Answers

Answered by surajnegi0600

Answer:

To rotate a triangle defined by the points A(0,0), B(6,0) and C(3,3) by 90° about the origin in the anticlockwise direction, we can use the matrix rotation method.

The matrix rotation method involves creating a transformation matrix that represents the rotation and then multiplying the matrix by the coordinates of the triangle's vertices.

Explanation:

Here is the rotation matrix for 90° anticlockwise rotation about the origin:

| cos(90) -sin(90) |

| sin(90) cos(90) |

The cos(90) = 0, sin(90) = 1

Then we will multiply the matrix with the coordinates of the three vertices of the triangle:

A(0,0) = | 0 0 | * | 0 | = | 0 |

| 0 0 | | 0 | | 0 |

B(6,0) = | 0 -6 | * | 6 | = | 0 |

| 6 0 | | 0 | |-6 |

C(3,3) = |-3 3 | * | 3 | = |-3 |

| 3 3 | | 3 | | 3 |

So after the rotation, the coordinates of the triangle's vertices will be:

A(0,0)

B(0,-6)

C(-3,3)

The triangle is rotated 90° about the origin in the anticlockwise direction.

It is worth noting that, this method can be applied for any degree of rotation about the origin and for any shape.