Question

rhombus pqrs is a translation of rhombus pqrs. write the translation rule.

Explanation:

Step1: Identify the change in x - coordinate

To find the translation rule, we look at the change in the x - coordinates of corresponding points. Let's take point P(4,4) and its image P'(- 2,-4). The change in the x - coordinate is \(\Delta x=-2 - 4=-6\).

Step2: Identify the change in y - coordinate

The change in the y - coordinate is \(\Delta y=-4 - 4=-8\).

Step3: Write the translation rule

The translation rule for a point \((x,y)\) is \((x,y)\to(x - 6,y - 8)\).

Answer:

\((x,y)\to(x - 6,y - 8)\)