Reflecting a triangle across two parallel lines results in specific changes to the triangle's orientation and position but not its size or shape. Here's a detailed breakdown of each reflection step:
1. **First Reflection Across Line \( m \)**:
- The triangle's orientation (e.g., which direction it points) becomes the opposite as it would look like it has been flipped upside down relative to its original position.
- The size and shape remain unchanged.
2. **Second Reflection Across Line \( n \)**:
- Because \( m \) and \( n \) are parallel and the triangle gets reflected again, it returns to an orientation that matches the original triangle before any reflections were performed.
- The position of the triangle changes, it gets translated.
- The size and shape of the triangle still remain unchanged.
Summarizing the effects:
- The orientation of the triangle is the same as the original triangle after both reflections.
- The triangle’s position changes, but not its size or shape.
Therefore, the correct statement is:
**"The size and shape do not change. After the first reflection, the figure is upside down, and after the second reflection, it is faced the same as the original."**
8. Describe the result of reflecting the triangle across the parallel lines m and n.
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The size and shape do not change. After the first reflection the figure is upside down and after 2nd reflection it is faced the same as the original.
The size and shape do not change. After the first reflection the figure is like the original and after 2nd reflection it is faced upside down.
The size and shape change. After the first reflection the figure is like the original and after 2nd reflection it is faced upside down.
The size and shape change. After the first reflection the figure is upside down and after 2nd reflection it is faced the same as the original.
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