Question

1. rectangle wxyz is transformed to create rectangle wxyz.

verbal description:
algebraic rule:

Explanation:

Step1: Find the coordinates of original and transformed points

Let's assume coordinates: \(W(-6,1)\), \(X(-6,5)\), \(Y(-3,5)\), \(Z(-3,1)\); \(W'(-1,-6)\), \(X'(-6,-6)\), \(Y'(-6,-3)\), \(Z'(-1,-3)\)

Step2: Analyze the transformation for \(x\) - coordinate

For \(x\) - coordinate: \(x\) value of \(W\): \(-6\), \(x\) value of \(W'\): \(-1\); \(x\) value of \(X\): \(-6\), \(x\) value of \(X'\): \(-6\). For \(y\) - coordinate: \(y\) value of \(W\): \(1\), \(y\) value of \(W'\): \(-6\); \(y\) value of \(X\): \(5\), \(y\) value of \(X'\): \(-6\).
The transformation rule for a point \((x,y)\) is \((x + 5,y-7)\)

Answer:

Verbal Description: Translate rectangle \(WXYZ\) \(5\) units to the right and \(7\) units down.
Algebraic Rule: \((x,y)\to(x + 5,y-7)\)