Question

?On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. Figure 1 and Figure 3 are similar by a sequence of transformations.


image-4317380-1524371240923

Part A
What type of transformation was used to transform Figure 1 into Figure 2?
A
dilation
B
reflection
C
rotation
D
translation
(b)

Part B
Which statement describes the transformation of Figure 2 into Figure 3?
A
reflection across the x−x-x−axis
B
reflection across the y−y-y−axis
C
translation 444 units to the right
D
translation 666 units to the right

Answer 1

To answer the questions about the transformations between Figure 1, Figure 2, and Figure 3 based on the provided descriptions:

### Part A
To determine the transformation from Figure 1 to Figure 2, you would look for characteristics such as the size change (dilation), flipping over an axis (reflection), turning around a point (rotation), or sliding (translation). Since I can't see the figures you are referring to, you'll need to analyze if the shapes are the same size (indicating dilation isn't involved), or if they are just moved without resizing (indicating that a translation is likely).

- If the size of Figure 1 changed into a larger or smaller Figure 2, that indicates a **dilation** (Answer A).
- If Figure 1 was flipped over a line to become Figure 2, that indicates a **reflection** (Answer B).
- If Figure 1 was turned around a point to become Figure 2, that indicates a **rotation** (Answer C).
- If Figure 1 just moved in one direction without changing size or orientation, that indicates a **translation** (Answer D).

### Part B
For the transformation from Figure 2 to Figure 3, you would analyze the orientation and position of the figures again:

- If Figure 3 is a mirror image of Figure 2 across the x-axis, it is a **reflection across the x-axis** (Answer A).
- If Figure 3 is a mirror image across the y-axis, it is a **reflection across the y-axis** (Answer B).
- If Figure 3 has moved to the right by a specified number of units, then determine if it’s a translation and the correct magnitude of movement in units. If it's 4 units, select **translation 4 units to the right** (Answer C), and if it is 6 units, then select **translation 6 units to the right** (Answer D).

Choosing the correct answers requires reviewing the characteristics of each transformation visually or through coordinates.

Based on a guess without seeing the figures:
- **Part A**: If the size changed, then select **A (dilation)**.
- **Part B**: If it moved without flipping, check the exact number of units to the right for either **C or D**.