Question

question 4 identify the transformation in the following figure. translation of 55 units down. rotation of 90 degrees reflection over the line y = 5. reflection over the line x = 5. question 5

Explanation:

Step1: Analyze translation

Translation moves a figure without rotation or reflection. The figure here has orientation - change, so it's not a translation of 55 units down.

Step2: Analyze rotation

A 90 - degree rotation would change the orientation of the figure's sides in a specific way. The figure's orientation relative to the axes doesn't match a 90 - degree rotation.

Step3: Analyze reflection over y = 5

If we consider the line y = 5, and measure the distance of points of the original figure and its image from this line, we can see that the figure is reflected over a horizontal line. By observing the grid, we can conclude it's not y = 5.

Step4: Analyze reflection over x = 5

The line x = 5 is a vertical line. The distance of each point of the original rectangle from the line x = 5 is the same as the distance of the corresponding point of the image rectangle from the line x = 5. The figure and its image are mirror - images with respect to the line x = 5.

Answer:

Reflection over the line x = 5.