What combination of transformations is shown below when moving the shape from 1 to 2 and 2 to 3?

hint ; the shape is a rombus



(1 point)
Responses

rotation, then reflection
rotation, then reflection

reflection, then rotation
reflection, then rotation

reflection, then translation
reflection, then translation

rotation, then translation
rotation, then translation
Skip to navigation

1 answer

To determine the combination of transformations involved in moving the shape (a rhombus) from position 1 to position 2 and from position 2 to position 3, we need to consider the properties of the transformations:

  1. Rotation: Turning the shape around a fixed point.
  2. Reflection: Flipping the shape over a line.
  3. Translation: Moving the shape from one place to another without rotating or flipping.

Since the specific visuals are not provided, we can deduce the transformations based on common scenarios with rhombuses.

  • If the rhombus is turned or flipped over a line between positions, that indicates reflection.
  • If it has been turned around a point, that indicates rotation.
  • If it is simply moved without any rotation or flipping, that indicates translation.

Without the specific images, let’s assume the rhombus moves in a manner that suggests first a flip (creating a mirrored version) and then a turn to a different angle.

Given these options:

  1. Rotation, then reflection: This implies that the rhombus first turns and then flips, which doesn't usually depict moving from one position to another in the context described.
  2. Reflection, then rotation: This means the rhombus first flips and then turns, a common scenario in moving shapes.
  3. Reflection, then translation: It would mean flipping and then moving it directly, but no turning involved after.
  4. Rotation, then translation: Here, the rhombus would turn and then just move straight, again lacking the flipping action.

Based on these considerations:

The most common transformation sequence when moving the rhombus from one position to another is reflection, then rotation.

So, the correct response should be: reflection, then rotation.