Question

Geometry Question: Describe the sequence of transformations given the two points below (A and B). The sequence must apply and work for both points.

A = (4, 8) --> (-8, -4) --> (-10, -2)
B = (5, -9) --> (9, -5) --> (7, -3)

What transformation(s) were applied to points A and B to get from the initial to final positions?

A. Translation followed by a reflection.
B. Rotation followed by a translation.
C. Reflection followed by a rotation.
D. Dilation followed by a translation.

Answer 1

The sequence of transformations applied to points A and B is a rotation followed by a translation.

Step-by-step explanation:

The sequence of transformations applied to points A and B can be described as a rotation followed by a translation.

For point A, the first transformation is a rotation of 180 degrees counterclockwise, which changes A from (4, 8) to (-8, -4). The second transformation is a translation of 2 units to the left and 2 units up, which changes A from (-8, -4) to (-10, -2).

Similarly, for point B, the first transformation is a rotation of 90 degrees counterclockwise, which changes B from (5, -9) to (9, -5). The second transformation is a translation of 2 units to the left and 2 units up, which changes B from (9, -5) to (7, -3).