Question

Question 5 (1 point)

Which of the following statements about rigid transformations is FALSE?
The shape and size are not preserved.
2:
In a reflection, the points on the pre-image and image are the same distance
from the line of reflection.
3:
Either the shape or the size is not preserved.
In a rotation, the points of the pre-image are always the same distance away
from the center of rotation as the corresponding points of the image.
4:

Answer 1

The false statements about rigid transformations are the first and third ones, which incorrectly assert that shape or size is not preserved. In contrast, both shape and size are preserved during rigid transformations.

Step-by-step explanation:

The question asks which statement about rigid transformations is FALSE. We can evaluate each of the statements provided:

1. The first and third statements are variations of the same incorrect assertion that shape or size are not preserved during rigid transformations, which is false. In rigid transformations, both the shape and size are preserved.
2. The second statement is accurate, as in a reflection, points on the pre-image and image are equidistant from the line of reflection.
3. The fourth statement is also correct, as in a rotation, points on the pre-image remain the same distance from the center of rotation in the image.

Therefore, the false statement is that in a rigid transformation, the shape and size are not preserved, which is the assertion made in both the first and third statements.

Answer 2

The false statements are;

The shape and size are not preserved

3: Either the shape or the size is not preserved

Step-by-step explanation:

A rigid transformation, in mathematics, is a planar transformation, preserving, the length or linear dimensions of the original figure or pre-image. Examples of rigid translation includes, rotation, reflection, translation, and their combinations of these transformations.

Rigid transformation is one where a geometric shape in an Euclidean space is transformed such that the spatial distances between any two points is maintained

Therefore, both the shape of the figure or pre-image and its size are preserved.