Question

which sequence of transformations maps lmno onto lmno? a translation right 8 units followed by a reflection across the line y = 6 a rotation 90° clockwise around the origin followed by a translation left 2 units a reflection across the line y = 5 followed by rotation 90° clockwise around the origin

Explanation:

Step1: Analyze translation

Count the horizontal distance between corresponding points of LMNO and L'M'N'O'. We can see that the x - coordinates of points in LMNO increase by 8 to get to the intermediate - position before the second transformation. This indicates a translation right 8 units.

Step2: Analyze reflection

After the translation right 8 units, we observe that the figure is reflected across a horizontal line. The mid - point between corresponding points (e.g., between L and L' after translation) in the vertical direction gives us the line of reflection. The line of reflection is \(y = 6\).

Answer:

a translation right 8 units followed by a reflection across the line \(y = 6\)