Question

considering the figure below, which image would result from rotating figure 1 180° about point c, and then reflecting it over the line r? this has two transformations a rotation then a reflection. figure 1 figure 2 figure 3 figure 4 figure 5 figure 6 option 1 option 2 option 3 option 4 option 5 figure 6

Explanation:

Step1: Perform 180 - degree rotation

A 180 - degree rotation about a point flips the figure upside - down and backwards. For a simple shape like the letter 'P', a 180 - degree rotation about point C will change its orientation.

Step2: Perform reflection

After the 180 - degree rotation, reflecting the rotated figure over the line r will further change its position. When we consider the combined effect of rotation and reflection on the original 'P' in Figure 1, we can analyze the orientation and position of the resulting figure. By visualizing or applying the rules of rotation (x,y)→(-x,-y) about the origin (in a coordinate - like sense relative to point C) and then the rules of reflection over a vertical line (x,y)→(2a - x,y) (where a is the x - coordinate of the line of reflection), we can determine the final image.

Answer:

Figure 6