Topic explanation

Standard explanation

P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-3,2) + [2,-1] = (-1,1).

Key points

• head minus tail
• AB = b - a
• OP from origin
• keep the ideas separate
• Ab From Positions: P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-
• WHAT — AB FROM POSITIONS: P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-
• HOW — Use the idea: Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check
• CORE UNDERSTANDING: P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-

Labelled diagram