Question

determine a series of transformations that would map figure b onto figure c. press \try\ to test a transformation or sequence of transformations. a reflection over the followed by a

Explanation:

Step1: Analyze Reflection Axis

First, we consider reflection. Reflecting Figure B over the y - axis will make it symmetric with respect to the y - axis. Let's assume the coordinates of the vertices of Figure B. After reflection over the y - axis, the x - coordinates of the vertices will be negated (if a point has coordinates \((x,y)\) in Figure B, after reflection over y - axis it will be \((-x,y)\)).

Step2: Analyze Translation

After reflection over the y - axis, we need to translate the figure horizontally and vertically to map it onto Figure C. By observing the positions, after reflecting over the y - axis, we can translate the figure to the right (positive x - direction) and down (negative y - direction) or other combinations. A common sequence is: Reflect Figure B over the y - axis, then translate it 10 units to the right and 2 units down (the exact translation can be determined by matching the vertices).

Answer:

A reflection over the y - axis followed by a translation (e.g., 10 units right and 2 units down) would map Figure B onto Figure C. (The specific translation values can be determined by comparing the coordinates of corresponding vertices of Figure B (after reflection) and Figure C.)