Raven's Progressive Matrices Test Raven's Progressive Matrices Figure Rotation and Reflection 4 — Questions and Answers
Question 1: A figure is reflected across the anti-diagonal (top-right to bottom-left). A point at the top-left corner moves to the:
- Top-right corner
- Bottom-right corner (Correct answer)
- Bottom-left corner
- Center
Correct answer: Bottom-right corner
Reflection across the anti-diagonal maps the top-left corner to the bottom-right corner.
Question 2: In a Raven's matrix, each figure in a column gains one additional rotational step of 90° clockwise moving downward. The top figure points west. What direction does the bottom figure (row 3) point?
- West
- North
- East (Correct answer)
- South
Correct answer: East
Moving down two rows adds two 90° clockwise rotations (180° total), turning a west-pointing figure to face east.
Question 3: Which statement correctly describes a reflection (as opposed to a rotation)?
- It preserves the handedness of a figure
- It reverses the handedness of a figure (Correct answer)
- It always preserves orientation
- It is equivalent to a 180° rotation
Correct answer: It reverses the handedness of a figure
Reflections reverse handedness (chirality), turning a left-hand shape into a right-hand shape and vice versa.
Question 4: A figure undergoes a 90° clockwise rotation followed by a reflection across the horizontal axis. Which single transformation produces the same result?
- 90° counter-clockwise rotation
- 180° rotation
- Reflection across the vertical axis
- Reflection across the main diagonal (Correct answer)
Correct answer: Reflection across the main diagonal
A 90° clockwise rotation combined with a horizontal reflection is equivalent to a reflection across the main diagonal.
Question 5: In a matrix pattern, a shape with an internal line at 45° is rotated 45° clockwise each step. After 4 steps, the internal line is at:
- 45°
- 90°
- 180°
- 225° (Correct answer)
Correct answer: 225°
Starting at 45° and adding four 45° clockwise steps (180° total) brings the line to 45° + 180° = 225°.
Question 6: A Raven's matrix row shows figures that are reflections of each other alternating with rotations. Which cognitive skill is primarily tested?
- Verbal reasoning
- Recognizing spatial transformation rules and applying them consistently (Correct answer)
- Memorizing shapes
- Counting objects
Correct answer: Recognizing spatial transformation rules and applying them consistently
Raven's matrices test the ability to identify spatial transformation rules (rotation, reflection) and extend them to find missing figures.
Question 7: If a figure has 4-fold rotational symmetry, how many degrees must it be rotated before it first looks identical to its original position?
- 45°
- 90° (Correct answer)
- 180°
- 360°
Correct answer: 90°
A figure with 4-fold rotational symmetry looks identical after each 90° (360°÷4) rotation.
A figure is reflected across the anti-diagonal (top-right to bottom-left).
A point at the top-left corner moves to the: