Question

rectangle abcd is plotted on the coordinate plane. it is reflected across the y - axis and then dilated by a scale factor of 2 to get image abcd. what is the relationship between these two figures? a they are congruent. b they are similar. c they are no longer related after the transformations. d it is not possible to determine the relationship with the given information.

Explanation:

• Congruent figures have the same shape and size. Since the rectangle is dilated (scaled) by a factor of 2, its size changes. So they are not congruent.
• Similar figures have the same shape but can have different sizes. Reflection is a rigid transformation that preserves shape, and dilation changes the size but keeps the shape. So the two rectangles (original and transformed) are similar.

Answer:

B. They are similar.