Question

9 esmeralda which description of a figure and its image match the transformation described by (x,y)→(2x,2y + 1)? a the figure and its image are similar, but not congruent, and the image has been translated 1 unit up. b the figure and its image are similar, but not congruent, and the image has been translated 1 unit to the right. c the figure and its image are congruent and the image has been translated 1 unit up. d the figure and its image are congruent and the image has been translated 1 unit to the right.

Explanation:

Step1: Analyze the transformation rule

The transformation $(x,y)\to(2x,2y + 1)$ has two - part changes. The $x$ - coordinate is multiplied by 2 and the $y$ - coordinate is first multiplied by 2 and then 1 is added. Multiplying the coordinates by 2 changes the size of the figure, so the figure and its image are similar but not congruent.

Step2: Analyze the vertical translation

The $+ 1$ in the $y$ - coordinate transformation $2y+1$ means a vertical translation. Since it is added to the $y$ - value, the image is translated 1 unit up.

Answer:

A. The figure and its image are similar, but not congruent, and the image has been translated 1 unit up.