Question

the image (green) is the result of a transformation on the pre - image (blue). * 1 point which transformation would accomplish this? figure r figure s a reflection over the x - axis a translation 8 units to the right and 6 units down a rotation 180° clockwise about the origin a rotation 90° counterclockwise about the origin

Explanation:

Step1: Analyze reflection over x - axis

A reflection over the x - axis would flip the figure vertically. But the orientation of the triangles is not consistent with a vertical flip.

Step2: Analyze translation

If we consider a point on Figure R, say the left - most vertex at (-5,0). Moving 8 units to the right makes the x - coordinate - 5+8 = 3, and moving 6 units down makes the y - coordinate 0 - 6=-6. This is consistent with the position of the corresponding point on Figure S.

Step3: Analyze 180 - degree rotation

A 180 - degree clockwise rotation about the origin would change the orientation of the figure in a way that is not consistent with the given transformation.

Step4: Analyze 90 - degree counter - clockwise rotation

A 90 - degree counter - clockwise rotation about the origin would also change the orientation of the figure differently than what is shown.

Answer:

B. A translation 8 units to the right and 6 units down