Question

11 quadrilateral abcd is translated to form quadrilateral ( abcd ). how can the translation of quadrilateral abcd to quadrilateral ( abcd ) be described using coordinates? (a) ( (x - 7,y - 2) ) (b) ( (x + 7,y - 2) ) (c) ( (x - 2,y - 7) ) (d) ( (x - 2,y + 7) )

Explanation:

Step1: Find the change in x - coordinate

Take a point, say \(A\). Let the coordinates of \(A\) be \((x_1,y_1)\) and of \(A'\) be \((x_2,y_2)\). Suppose \(A(-6,6)\) and \(A'(1,4)\). The change in \(x\) - coordinate is \(x_2 - x_1=1-(-6)=7\).

Step2: Find the change in y - coordinate

The change in \(y\) - coordinate is \(y_2 - y_1 = 4 - 6=-2\).

For a translation \((x,y)\to(x + a,y + b)\), here \(a = 7\) and \(b=-2\)

Answer:

B. \((x + 7,y - 2)\)