Question

which description of a figure and its image match the transformation described by $(x,y)\to(2x,2y + 1)$?
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
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:

La transformación \((x,y)\to(2x,2y + 1)\) implica una dilatación (porque \(x\) y \(y\) se multiplican por 2, lo que cambia las longitudes de los lados de la figura, por lo que la figura y su imagen no son congruentes, pero sí similares) y un desplazamiento vertical (porque se agrega 1 a \(2y\), lo que mueve la imagen 1 unidad hacia arriba).

Answer:

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