ΔLOW→ΔL"O"W" looks like a translation. What two moves could replace the one translation? (1 point) Responses a counterclockwise rotation of 180 degrees a counterclockwise rotation of 180 degrees a reflection across intersecting lines a reflection across intersecting lines a reflection across perpendicular lines a reflection across perpendicular lines a reflection across parallel lines

1 answer

To understand how to replace the one translation (ΔLOW→ΔL"O"W"), we need to analyze what the translation entails. In geometry and transformations, a translation moves every point of a shape a certain distance in a specified direction.

A translation can often be represented as a combination of other transformations. For instance, you can achieve the same spatial arrangement through:

  1. A reflection across a line (to flip the shape).
  2. A rotation (to orient the shape correctly after the flip).

However, since the question specifically asks for two moves to replace a translation, the most fitting option would be:

  • A reflection across parallel lines (to flip the shape).
  • A counterclockwise rotation of 180 degrees (to properly align it after the reflection).

Therefore, the two moves that could replace the one translation are:

  1. A reflection across parallel lines
  2. A counterclockwise rotation of 180 degrees