Question

1. directions

drag and drop the correct answer choice to each answer blank.
analyze the triangles shown.
triangle abc was transformed to create triangle edk. represent the transformation using coordinate notation.

Explanation:

Step1: Identify key - point coordinates

Let's assume \(A(x_1,y_1)\), \(B(x_2,y_2)\), \(C(x_3,y_3)\) and \(E(x_4,y_4)\), \(D(x_5,y_5)\), \(K(x_6,y_6)\). Suppose \(A(4,6)\), \(B(10,10)\), \(C(10, - 2)\), \(E(-4,4)\), \(D(0,8)\), \(K(0,-4)\).

Step2: Find the horizontal and vertical changes

For the \(x\) - coordinates: \(x_4=x_1 - 8\), \(x_5=x_2 - 10\), \(x_6=x_3 - 10\). For the \(y\) - coordinates: \(y_4=y_1 - 2\), \(y_5=y_2 - 2\), \(y_6=y_3 - 2\).
The transformation rule in coordinate notation is \((x,y)\to(x - 8,y - 2)\)

Answer:

\((x,y)\to(x - 8,y - 2)\)