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2 votes
EXIT TICKET

Ahmad constructed the composition of dilations shown. Figure 2 is 1/2 the
size of Figure 1, and Figure 3 is 2/3 the size of Figure 2.
What is the scale factor from Figure 1 to Figure 3?

Circle the best choice: What is the center of dilation that maps Figure 1 to Figure 3?

Point A
Point B
Point C
Point D

EXIT TICKET Ahmad constructed the composition of dilations shown. Figure 2 is 1/2 the-example-1

2 Answers

3 votes

Final answer:

The scale factor from Figure 1 to Figure 3 is 1/3, and the center of dilation that maps Figure 1 to Figure 3 is Point C.

Step-by-step explanation:

The scale factor from Figure 1 to Figure 3 can be found by multiplying the scale factors from Figure 1 to Figure 2 and from Figure 2 to Figure 3. The scale factor from Figure 1 to Figure 2 is 1/2, and the scale factor from Figure 2 to Figure 3 is 2/3. Multiplying these two fractions gives us (1/2) * (2/3) = 1/3. Therefore, the scale factor from Figure 1 to Figure 3 is 1/3.

The center of dilation that maps Figure 1 to Figure 3 is Point C. A dilation is a transformation that changes the size of an object but not its shape. In this case, Figure 3 is 1/3 the size of Figure 1, and the center of dilation is the point that remains fixed during the dilation.

User Eskir
by
3.5k points
4 votes

Answer:

Step-by-step explanation:

Point A

User Hajo
by
3.0k points