BCG Matrix: Market Share and Growth Rate Analysis

The question asks for a matrix that graphically shows differences among divisions based on their relative market share position and industry growth rate.

• BCG Matrix: This tool plots Strategic Business Units (SBUs) or divisions on a two-dimensional grid. The X-axis represents relative market share, and the Y-axis represents industry growth rate. This directly matches the criteria mentioned in the question, allowing for a graphical comparison of divisions' positions.
• SPACE Matrix: This matrix uses four dimensions (Internal-Strategic Position - ISP: Financial Strength - FS & Competitive Advantage - CA; External-Strategic Position - ESP: Industry Strength - IS & Environmental Stability - ES) to determine a strategic direction (Aggressive, Conservative, Defensive, Competitive). It doesn't directly plot market share versus industry growth rate for divisions.
• SWOT Matrix: This matrix analyzes Strengths, Weaknesses, Opportunities, and Threats. It's a strategic planning tool but doesn't graphically plot divisions based on market share and industry growth rate.
• IE Matrix: This matrix considers internal factors (IF - Internal Factor Evaluation) and external factors (EF - External Factor Evaluation) to plot business units. While it uses growth and strength, it's structured differently and doesn't specifically focus on relative market share versus industry growth rate in the same way the BCG matrix does.

Therefore, the BCG Matrix is the correct tool for graphically portraying differences among divisions in terms of relative market share position and industry growth rate.