Question

a rectangle undergoes a single transformation. for each type of transformation, indicate which features of the triangle same orientation of the vertices. reflection over the y - axis reflection over the x - axis dilation by scale factor of 5 dilation by scale factor of 0.25

Explanation:

1. Reflection over y - axis: A reflection over the y - axis changes the orientation of the vertices (it's a mirror image across the y - axis, so the order of vertices' orientation is reversed). For example, if a rectangle has vertices in clockwise order, after reflection over the y - axis, the order becomes counter - clockwise (or vice - versa).
2. Reflection over x - axis: Similar to reflection over the y - axis, a reflection over the x - axis also changes the orientation of the vertices. The vertices' order (clockwise/counter - clockwise) is reversed.
3. Dilation by scale factor of 5: Dilation is a transformation that only changes the size of the figure (scales it up or down) and does not change the orientation of the vertices. The relative positions of the vertices (in terms of clockwise or counter - clockwise order) remain the same.
4. Dilation by scale factor of 0.25: Dilation, regardless of the scale factor (as long as it's a non - negative real number), only affects the size of the figure. It does not change the orientation of the vertices. The order of the vertices (clockwise or counter - clockwise) stays the same.

Answer:

C. Dilation by scale factor of 5, D. Dilation by scale factor of 0.25