He reflected the leaf to the right across the dotted line.Then he rotated the leaf 90 degrees clockwise.Which of these shows the final position of the leaf

To determine the final position of the leaf after reflecting and rotating, follow these steps:

1. Break Down the Problem

1. Reflection: Reflect the leaf to the right across the dotted line.
2. Rotation: Rotate the reflected leaf 90 degrees clockwise.

2. Relevant Concepts

• Reflection: When reflecting across a line, points symmetric to that line are found.
• Rotation: A 90-degree clockwise rotation changes the coordinates of a point $(x, y)$ to $(y, -x)$.

3. Analysis and Detail

1. Perform Reflection:

   • Identify the coordinates of significant points of the leaf before reflection.
   • Apply the reflection transformation across the dotted line.

2. Perform Rotation:

   • Take the coordinates of the reflected leaf.
   • Apply the 90-degree clockwise rotation transformation.

4. Verify and Summarize

• Ensure the transformations applied are correct by visualizing or recalculating coordinates as needed.
• Maintain consistency with the original leaf's position and apply the transformations stepwise.

Final Answer

The correct final position of the leaf after performing these transformations will depend on the specific coordinates after reflection and rotation. Visual aids such as diagrams can clarify the final orientation. Please refer to the options provided to select the correct configuration reflecting these transformations.