Question

question 2
identify the transformation in the following figure.
reflection over the y - axis
reflection over the x - axis
translation of 10 units down
rotation of 270 degrees

Explanation:

Step1: Recall transformation rules

In a reflection over the x - axis, the rule for a point (x,y) is (x, - y). In a reflection over the y - axis, the rule for a point (x,y) is (-x,y). For a translation of 10 units down, the rule for a point (x,y) is (x,y - 10). For a 270 - degree rotation, the rule for a point (x,y) is (y,-x).

Step2: Analyze the figure

The original triangle XYZ and its image X'Y'Z' have the same x - coordinates for corresponding points, but the y - coordinates of the image points are the negative of the y - coordinates of the original points.

Answer:

B. Reflection over the x - axis