Question

A coordinate plane's x-axis ranges from negative 8 to 0 and its y-axis ranges from negative 6 to 10, both by 1-unit increments. Points upper L, upper O, upper W, upper L prime, upper O prime, and upper W prime are plotted forming two triangles.
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

Answers

GPT-4o mini
To determine which two moves could replace the one translation that maps triangle ΔLOW to ΔL"O"W", we need to consider the characteristics of the triangles and how transformations work.

The transformation that comprises one translation can often be represented as more than one transformation, specifically involving rotations and reflections.

Out of the given options, the most plausible way to achieve a transformation from one triangle to another, aside from translation, would be:

- **A reflection across parallel lines**

This would involve first reflecting the triangle across one line, followed by a reflection across another parallel line, which can effectively achieve the same endpoints as a translation.

So the correct answer is:

**a reflection across parallel lines**