Let's assume the trapezoid has vertices A, B, C, and D, where AB is the parallel base with length 10, and CD is the other base with length 12. Let's also assume that AB is above CD.
Inequalities to define the trapezoid can be stated as follows:
1. AB > CD (The length of the parallel base AB is greater than the length of the other base CD.)
2. AD > BC (The length of the diagonal AD is greater than the length of the other diagonal BC,)
3. The coordinates of the vertices:
- A: (x, y) with y > 0
- B: (x + 10, y) with y > 0
- C: (x + 3, 0)
- D: (x + 13, 0)
These inequalities, along with the assumptions made, define the trapezoid shown right.
Write the set of inequalities that Define the trapezoid shown right
1 answer