Question

Question 66
Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.

Table I
$\begin{array}{cc}Point& (x,y)\\ A& (1,1)\\ B& (4,4)\\ C& (8,4)\\ D& (5,1)\end{array}$

Table II
$\begin{array}{cc}Point& (0.5x,0.5y)\\ E& (0.5,0.5)\\ F& \\ G& \\ H& \end{array}$

Table III
$\begin{array}{cc}Point& (2x,1.5y)\\ J& (2,1.5)\\ K& \\ L& \\ M& \end{array}$
Draw parallelograms EFGH and JKLM on the same graph paper. Plot the points (2,4) and (4,2) on a graph paper, then draw a line segment joining these two points.

Answer 1

The complete table is shown below.
$\begin{array}{cccc}Points& (0.5x,0.5y)& Points& (2x,1.5y)\\ E& (0.5,0.5)& J& (2,1.5)\\ F& (2,2)& K& (8,6)\\ G& (4,2)& L& (16,6)\\ H& (2.5,0.5)& M& (10,1.5)\end{array}$