One way to engage students in a geometry challenge is to display a triangle and ask them to identify its properties. For example, you could show them an equilateral triangle and ask them to identify that all three angles are equal and all three sides are equal in length.

After discussing the properties of the equilateral triangle, challenge students to draw different shapes with similar properties. For example, they could draw an equilateral pentagon or an equilateral hexagon. Encourage students to discuss the relationships between the angles and sides of these shapes and how they are similar or different from the equilateral triangle.

You could also extend the challenge by asking students to explore other types of triangles, such as isosceles or scalene triangles, and draw shapes with similar properties. This activity can help students deepen their understanding of geometric properties and relationships while also encouraging creativity and problem-solving skills.