Use the image to answer the question.

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 parallel lines
a reflection across parallel lines

a reflection across perpendicular lines
a reflection across perpendicular lines

a reflection across intersecting lines
a reflection across intersecting lines
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Answer 1

To determine what two moves could replace the one translation that maps triangle ΔLOW to triangle ΔL"O"W", we need to consider the properties of transformations in a coordinate plane.

The most plausible response here would be:

a reflection across parallel lines followed by a translation.

In this context, a reflection across parallel lines would alter the position and orientation of the figure, and a subsequent translation would help in placing the figure precisely to match the final position.

However, if we need to replace the translation solely with a pair of reflections, the most fitting answer would be:

a reflection across intersecting lines, where one reflection could change the orientation and another could position it correctly.

Therefore, the correct response is:

a reflection across intersecting lines.