15. Verify experimentally, that the line drawn from the vertex of an isosceles triangle to the midpoint of its base is perpendicular to the base. (Two figures required)

12. Mike used a coordinate plane to design the patio shown at the right. Each unit on the grid represents 1 yard. To buy materials to build the patio, Mike needs to know its perimeter. What the perimeter of the patio?

6. Jennifer wants to plant a flower garden in the space shown. She wants to add a fountain that is 3 feet wide and 3 feet long. What is the area of the space left to plant flowers?

4. Identify each of the following as an ellipse, circle, or hyperbola. Show how you determined it. a) \( x^{2}-2 x-4 y^{2}-16 y=19 \) answer: b) \( 2 y^{2}-6 y+2 x^{2}+36 x-45=0 \) answer: c) \( x^{2}+9 y^{2}+36 y-45=0 \) answer:

6. Jennifer wants to plant a flower garden in the space shown. She wants to add a fountain that is 3 feet wide and 3 feet long. What is the area of the space left to plant flowers?

Se tiene un rectángulo en forma de triángulo rec- tángulo, cuyos catetos miden \( x=12 u \) y \( y=35 \) \( u \). ¿Qué cantidad de malla se necesita para cer- carlo?