Transformation of Triangle NWG to N'W'G'

Answered using GPT-4o mini by AI Answer Generator

Question:

Triangles NWG and N'W'G' are shown on the coordinate grid where N'W'G' is a transformation of △NWG .

image.png

Which algebraic rule will transform △NWG onto △N'W'G' ?

(x, y) → (x, y)

(x, y) → (−x, y)

(x, y) → (x, −y)

(x, y) → (−x, −y)

Answer:

To determine the algebraic rule that transforms triangle ( \triangle NWG ) onto triangle ( \triangle N'W'G' ), we need to analyze the coordinates of the points in both triangles.

  1. Identify the coordinates of the points in ( \triangle NWG ) and ( \triangle N'W'G' ).
  2. Compare the coordinates to see how they change from ( \triangle NWG ) to ( \triangle N'W'G' ).

The transformation rules provided are:

  • ( (x, y) \to (x, y) ) (no change)
  • ( (x, y) \to (-x, y) ) (reflection over the y-axis)
  • ( (x, y) \to (x, -y) ) (reflection over the x-axis)
  • ( (x, y) \to (-x, -y) ) (reflection over both axes)

If you can provide the coordinates of the points in both triangles, I can help you determine which transformation applies. If you have the image or specific coordinates, please share them!