c) Sketch this triangle and mark its sides as equal-length to show that it is equilateral.

To sketch an equilateral triangle and mark its sides as equal-length, follow these steps: 1. **Draw the Triangle**: Start by drawing a triangle with three equal sides. Label the vertices as \( A \), \( B \), and \( C \). 2. **Mark the Equal Lengths**: Indicate that all sides are equal by marking them with the same symbol. For example, you can use a single line segment on each side: - Mark side \( AB \) with one line segment. - Mark side \( BC \) with one line segment. - Mark side \( CA \) with one line segment. 3. **Label the Sides**: You can label the sides as follows: - \( AB = BC = CA \) 4. **Add a Note**: You can add a note stating that since all sides are equal, the triangle is equilateral. Here’s a simple representation of how you might sketch it: ``` A / \ / \ / \ B-------C ``` - Each side \( AB \), \( BC \), and \( CA \) should have a mark indicating they are equal in length. This visual representation confirms that the triangle is equilateral.