The image L'M'N'O' is the result of a transformation in the coordinate plane.

L (-7, 5)

What transformation occurred? What are the coordinates of L' ?

Responses

Translation; L' (-7, 5)
Translation; L' (-7, 5)

Reflection; L' (-7, -5)
Reflection; L' (-7, -5)

Rotation; L' (-7. -5)
Rotation; L' (-7. -5)

Dilation; L' (7, -5)

Translation; L' (-7, 5)

To determine the type of transformation that occurred, we need more information. The given image L'M'N'O' does not provide enough context to identify the transformation accurately.

To determine the transformation that occurred, we need more information about the image L'M'N'O'. The given information only mentions the coordinates of point L. We need the coordinates of point L' to identify the transformation.

However, based on the provided options, we can eliminate dilation and rotation. They involve changes in the scaling or rotation of the figure, which cannot be determined solely by the coordinates of point L.

Now, let's consider the remaining options: translation and reflection.

Translation is a type of transformation that involves sliding a figure along the coordinate plane without changing its shape or orientation. If the transformation is a translation, then point L' should have the same coordinates as point L since the shape is simply moved. Thus, the possible answer would be: Translation; L'(-7, 5).

Reflection is a transformation that flips a figure over a line or axis called the line of reflection. If the transformation is a reflection, then the x-coordinate of point L' should be the same as that of point L, but the y-coordinate will have the opposite sign. Based on this, the possible answer would be: Reflection; L'(-7, -5).

Without further information, we cannot definitively determine which transformation occurred between L and L'.