Question

Graph the polygon with the given vertices and its image after the given rotation about point A

A (-2Ė-3) , B (-3Ė2) , C (3Ė1) ; 180°

Answer 1

The coordinate of the image before and after 180 degree rotation is attached

The coordinates are

A (-2, -3)

B' (-1, -8)

C' (-7, -5)

What is rotation in transformation

In geometry, a rotation is a type of geometric transformation that involves turning or pivoting an object around a fixed point known as the center of rotation.

The object remains in the same plane, and each point on the object moves along a circular path by a certain angle.

In this case, the plane is the xy plane and the center of rotation is point A.

To find the coordinates, we solve as follows

A (-2, -3): This point remains same (center of rotation)

B (-3, 2):

Difference between the coordinates and the center of oration

X: -3 to -2 = 1 unit, we move 1 unit, from the center of rotation to the opposite direction to get -1

Y: 2 to -3 = 5 units, we move 5 units, from the center of rotation to the opposite direction to get -8

• B' (-1, -8)

Similarly for C (3, -1)

X: 3 to -2 = 5 units, we move 5 units, from the center of rotation to the opposite direction to get -7

Y: -1 to -3 = 2 units, we move 2 units, from the center of rotation to the opposite direction to get -5

• C' (-7, -5)