1.3+Planning+Parks

6th, October, 2008 Shazeen K.   ** The dimensions of a right triangle can be determined with limited information. ** **EQ1. How can I calculate distances on a coordinate grid?** a square + b square = c square To find total distance between two points on a coordinate grid: Y2 - Y1 = a X1 - X1 = b sum = a and sum = b (a+b) = total distance __//(The following Polygons are being drawn with the given coordinates (1,1) & (4,2//) from the Connected Mathematics Grade 8 Pg 10, Unit, Looking For Pythagoras__).
 * Notes from Class:**

Coordinates Square 1; (1,1) (4,2) (2,-2) (5,-1) Coordinates Square 2; (1,1) (4,2) (0,4) (3,5) Coordinates Square 3; (1,1) (4,2) (0,3) (2,3) The other coordinates for square 1 can be (2,-2) and 5,-1) and for square 2 it can be (0,4) and (3,5)
 * A. If the park with the given vertices is to be a square, what could the coordinates of the other two vertices be? Give two answers.**

Coordinates rectangle 1: (1,1) (4,2) (3,-5) (6,-4) Coordinates rectangle 2: (1,1) (4,2) (1,2) (4,1) The other two coordinates rectangle 1 can be (3,-5) and (6,-4) and for rectangle 2 can be (1,2) (4,1)
 * B. If the park is to be a non-square rectangle, what could the coordinates of the other two vertices be? Give two answers.**

Coordinates right triangle 1: (1,1) (4,2) (2,3) Coordinates right triangle 2: (1,1) (4,2) (3,1) The third vertex for right triangle 1 can be (2,3) and for right triangle 2 it will be, (3,1)
 * C. If this park is to be a right triangle, what could the coordinates of the other vertex be? Give two answers.**

Coordinates Parallelogram 1: (1,1) (4,2) (0,2) (3,3) Coordinates Parallelogram 2: (1,1) (4,2) (2,1) (5,1) The other two coordinates for Pa.1 can be (0,2) & (3,3) and for Pa. 2 it will be, (2,1) (5,1).
 * D. If this park is to be a parallelogram that is not a rectangle, what could the coordinates of the other two vertices be? Give two answers.**


 * __Problem 1,3 follow-up__**

Make a conjecture about the diagonals of a square, a non-square rectangle and a non rectangular parallelogram

When you draw a diagonal line for a square it cuts a 45 degree angle, but the diagonal line will be longer than the sides of this quadrilateral. If I made another diagonal line the lenth of the line will be exactly the same as D1 but still will be longer than the sides of the square.

When drawing a diagonal line line for a parallelogram, Line BD, this line will be longer than its 4 sides and it will be longer than diagonal line AC. As you are squishing this parallelogram to the right side the line BD will extend and line AC will become shorter. The cut will not a make a 45 degree angle.

When drawing the diagonal line, as it is the same as previous quadrilaterals. The diagonal line BD and AC is the same length as each other but they are longer and more extended than their for 4 sides just like the square, but it will not make a 45 degree angle.

ACE#1 2, (13)**
 * Homework**