Subjects geometry

Translation Rule 805C01

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to write the translation rule that maps quadrilateral QRST to quadrilateral Q'R'S'T'. 2. A translation moves every point of a figure the same distance in the same direction. 3. The translation rule is generally written as $(x,y) \mapsto (x + a, y + b)$ where $a$ is the horizontal shift and $b$ is the vertical shift. 4. From the graph, observe the movement from a point on QRST to the corresponding point on Q'R'S'T'. For example, if point Q at $(x,y)$ moves to $Q'$ at $(x+7,y+6)$, then $a=7$ and $b=6$. 5. Therefore, the translation rule is: $$(x,y) \mapsto (x + 7, y + 6)$$ This means every point moves 7 units right and 6 units up to get from QRST to Q'R'S'T'.