Quadrangle

Fun stuff...click on a vertex of the quadrangle to move its location. Note the coordinates on the lower left of your brower's window status line. The x and y axes go from -15 to +15. Select from the "pop-up" menu the componants you would like to have displayed. The source.

Instructions

Place the location of A, B, C, and D according to the Question below, and identify what sort of special quadrangle it is (Trapezoid, Parallelogram, Rectangle, Rhombus or Square), if any, and by what characteristic you could prove that it is. For example, number one is a parallelogram, since after locating the vertices at A(1,1) B(3,4) C(10,4) D(8,1), and selecting the menu to show the angles, the opposite angles are congruent.

Questions

  1. A(1,1) B(3,4) C(10,4) D(8,1)

  2. A(0,-3) B(-4,-1) C(-2,1) D(2,-1)

  3. A(1,2) B(-3,-1) C(-7,2) D(-3,5)

  4. A(1,1) B(3,-3) C(-1,-1) D(-3,3)

  5. A(4,-1) B(-2,-1)) C(-2,2) D(4,2)

  6. A(-5,0) B(-3,4) C(5,0) D(3,-4)

  7. A(2,2) B(2,-2) C(-2,-2) D(-2,2)

  8. A(0,3) B(3,0) C(0,-3) D(-3,0)

  9. A(-7,0) B(-4,-4) C(-1,4) D(-1,0)

  10. A(4,6) B(10,3) C(4,-3) D(1,3)

  11. A(0,0) B(2,4) C(4,0) D(2,-2)

  12. A(6,0) B(3,-5) C(-4,0) D(3,5)

Other Links

"Quad in a Quad" puzzle from Cambridge

More Lessons

Basic Triangle

Mona Lisa & The Golden Rectangle