Raven's Progressive Matrices Line and Angle Patterns Flashcards

In RPM, a line completes a full 360° rotation across 4 cells (one per cell). What is the per-cell rotation increment?

Answer: 90°

Dividing 360° evenly among 4 cells gives 360° ÷ 4 = 90° per cell.

An RPM matrix row has lines at 10°, 20°, and 40°. Which description best fits this sequence?

Answer: Geometric — each angle doubles

The angles 10°, 20°, 40° each double the previous value (×2), making this a geometric progression.

In a 3×3 RPM matrix, cells along the main diagonal (top-left to bottom-right) show lines at 0°, 60°, and 120°. What angle would logically continue this diagonal pattern?

Answer: 180°

The angles increase by 60° per step (0° → 60° → 120°), so the next step would be 120° + 60° = 180°.

When two lines in an RPM cell form an angle of 40°, what is the complementary angle?

Answer: 50°

Complementary angles sum to 90°, so the complement of 40° is 90° − 40° = 50°.

An RPM matrix has lines that alternate between acute angles (less than 90°) and obtuse angles (greater than 90°) across each row. Which pattern does this represent?

Answer: Alternating angle pattern

When lines switch between two angle categories (acute/obtuse) in a regular back-and-forth manner, this is classified as an alternating pattern.

In solving RPM angle problems, which strategy is most effective when angles appear complex or irregular?

Answer: Check each row and each column independently for a consistent rule

Systematically checking rows and columns separately allows you to confirm whether rules apply horizontally, vertically, or both, preventing incorrect assumptions.

A matrix shows lines progressing through 0°, 30°, 60°, 90°, 120°, 150°, and 180° across cells. After 180°, the next line would logically appear at 0° because:

Answer: A line at 180° is indistinguishable from a line at 0° (both are horizontal)

A straight line at 180° looks identical to one at 0° — both appear horizontal — so the sequence wraps back to 0° naturally.