Question

click the arrows to choose an answer from each menu.
choose... correct.
each side length of abcd is choose... the corresponding side length of abcd. each angle measure of abcd is choose... the corresponding angle measure of abcd. therefore, abcd and abcd are choose...

Explanation:

Step1: Analyze side - length relationship

By observing the graph, we can see that each side length of $A'B'C'D'$ is half of the corresponding side length of $ABCD$. For example, if we consider the horizontal or vertical displacements of the vertices, we can count the grid - squares.

Step2: Analyze angle - measure relationship

In a dilation (which seems to be the transformation here), angle measures are preserved. So each angle measure of $A'B'C'D'$ is equal to the corresponding angle measure of $ABCD$.

Step3: Determine the relationship between the two figures

Since the side - lengths are in proportion and the angle measures are equal, the two figures $A'B'C'D'$ and $ABCD$ are similar.

Answer:

Each side length of $A'B'C'D'$ is half of the corresponding side length of $ABCD$. Each angle measure of $A'B'C'D'$ is equal to the corresponding angle measure of $ABCD$. Therefore, $A'B'C'D'$ and $ABCD$ are similar.