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In this worksheet, Lin is reflecting triangle **ABC** across line **t**. Here’s a breakdown of how to approach the questions:

1. **What is one idea that Lin probably understands about reflections?**
   Lin likely understands that in a reflection, every point of the original figure must be mirrored over the line of reflection (line **t**) to create the new image. Each corresponding point should be equidistant from the line of reflection.

2. **What is one idea that Lin doesn’t understand about reflections?**
   Lin might not fully understand that in order for the reflection to be congruent to the original triangle, the points must not only be equidistant but also reflected directly perpendicular to the line of reflection. Based on the image, the reflected triangle appears distorted, meaning Lin may not have accurately determined the perpendicular distances from the points to line **t**.

3. **Reflect triangle ABC correctly.**
   To correctly reflect the triangle:
   - Measure the perpendicular distance from each vertex (points A, B, and C) to the line **t**.
   - Mark new points on the opposite side of the line, ensuring the distances are equal to the original points.
   - Connect the reflected points to form the reflected triangle.

Would you like a more detailed explanation on how to reflect triangles accurately? 

Here are some related questions:
1. How can we verify if two shapes are congruent after reflection?
2. What is the definition of perpendicular distance in the context of reflections?
3. How does the orientation of a figure change after a reflection?
4. What are other transformations besides reflection that preserve congruence?
5. What happens to angles during a reflection?

**Tip:** Always ensure that the reflected points maintain equal distance from the reflection line to avoid distortion.

Lin tried to reflect triangle ABC across line t. She knows something went wrong because the image isn't congruent to the original figure. What is one idea that Lin probably understands about reflections? What is one idea that Lin doesn’t understand about reflections? Reflect triangle ABC correctly.

Learn how to reflect triangle ABC correctly over line t. This lesson covers key concepts like reflection, congruence, and perpendicular distance. Discover common mistakes when reflecting shapes and how to ensure your reflection is congruent to the original.

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