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3. which transformation is shown? 180° rotation translation reflection …

Question

  1. which transformation is shown? 180° rotation translation reflection over the y - axis reflection over the x - axis

Explanation:

Step1: Recall transformation rules

A 180 - degree rotation changes the sign of both x and y coordinates of each point. A translation moves the figure without changing its orientation. A reflection over the x - axis changes the sign of the y - coordinate of each point, and a reflection over the y - axis changes the sign of the x - coordinate of each point.

Step2: Analyze the figure

In the given graph, the original triangle in the second - quadrant has its x - coordinates' signs changed to get the triangle in the first - quadrant. The y - coordinates remain the same. This is the rule for reflection over the y - axis.

Answer:

Reflection over the y - axis