Question

translations: classwork

1. write three different translation rules for which the image of \\( \triangle a b c \\) has a vertex at

the origin. (15 points)

Explanation:

Step1: Find coordinates of vertices

Assume \(A=(2,5)\), \(B=(6,3)\), \(C=(2,2)\) (coordinates based on grid - like structure assumption).

Step2: Translation rule formula

The translation rule is \((x,y)\to(x - h,y - k)\). If we want a vertex \((h,k)\) to be translated to \((0,0)\).

For vertex \(A=(2,5)\)

The translation rule is \((x,y)\to(x - 2,y - 5)\)

For vertex \(B=(6,3)\)

The translation rule is \((x,y)\to(x - 6,y - 3)\)

For vertex \(C=(2,2)\)

The translation rule is \((x,y)\to(x - 2,y - 2)\)

Answer:

Three translation rules are \((x,y)\to(x - 2,y - 5)\), \((x,y)\to(x - 6,y - 3)\), \((x,y)\to(x - 2,y - 2)\)