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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if the same pattern is used to cut each tag, they will all have sides that come out the same length each time the pattern is used.
By SSS the triangles will be congruent.
To make 25 congruent name tags in the shape of triangles, Mandy can follow the following steps:
1. Start by creating one triangle as a template. This can be done by using a ruler and a protractor to draw a triangle of the desired size.
2. Once the template triangle is created, Mandy can trace it onto a piece of paper or cardboard.
3. Cut out the triangle carefully along the traced lines. This will be the pattern for the name tags.
4. Now, Mandy can use the pattern to trace the triangle onto 25 separate pieces of paper or cardboard.
5. Cut out each traced triangle, and she will have 25 congruent name tags.
Mandy can be confident that all 25 name tags will be congruent because they were created using the same template triangle. By using the pattern consistently and accurately, she ensures that each name tag will have the same size and shape as the template triangle. This guarantees congruency among all the name tags.