Mandy is making name tags in the shape of triangles. They all should be the same size. Explain how she can use a pattern to make 25 name tags. How does she know they will all be congruent?

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To make 25 congruent name tags in the shape of triangles, Mandy can follow these steps:

1. Start with a piece of paper or cardboard as the template for the triangle. Ensure it is the desired size for the name tags.

2. Trace the triangle template onto another piece of paper or cardboard. This will be the first name tag.

3. Cut out the first name tag along the traced lines.

4. Now, instead of tracing the template for each subsequent name tag, Mandy can simply place the cut-out name tag on top of a new piece of paper or cardboard and trace around its outline.

5. Repeat this process 25 times, each time using the previous name tag as a template.

By using this pattern, Mandy will ensure that all the name tags she creates are congruent, meaning they will have the same shape and size. This is because each name tag is traced from the original template, resulting in identical triangles.