Question

on the coordinate grid below, miguel transformed figure 1 to figure 2. determine whether each statement accurately describes miguels transformation. select true or false for each statement. figure 1 and figure 2 are similar. figure 2 is congruent to a dilation of figure 1 with a scale factor of 3. figure 1 maps onto figure 2 by a reflection, rotation, and translation. figure 2 is congruent to figure 1.

Explanation:

Step1: Recall similarity definition

Two figures are similar if they have the same shape but not necessarily the same size. Figure 1 and Figure 2 do not have the same shape, so they are not similar.

Step2: Recall dilation and congruence

A dilation changes the size of a figure. If Figure 2 was a dilation of Figure 1 with a scale - factor of 3, they would be similar. Since they are not similar, this statement is false.

Step3: Recall rigid - motion transformations

Rigid - motion transformations (reflection, rotation, translation) preserve shape and size (congruence). Since Figure 1 and Figure 2 have different shapes, Figure 1 cannot map onto Figure 2 by these transformations.

Step4: Recall congruence definition

Congruent figures have the same shape and size. Since Figure 1 and Figure 2 have different shapes, they are not congruent.

Answer:

Figure 1 and Figure 2 are similar: False
Figure 2 is congruent to a dilation of Figure 1 with a scale factor of 3: False
Figure 1 maps onto Figure 2 by a reflection, rotation, and translation: False
Figure 2 is congruent to Figure 1: False