Raven's Progressive Matrices Test Raven's Progressive Matrices Figure Rotation and Reflection 2 — Questions and Answers
Question 1: A shape is rotated 90° clockwise. Which transformation would return it to its original orientation?
- Rotate 90° clockwise again
- Rotate 90° counter-clockwise (Correct answer)
- Rotate 180°
- Reflect across the vertical axis
Correct answer: Rotate 90° counter-clockwise
A 90° counter-clockwise rotation is the inverse of a 90° clockwise rotation, returning the shape to its original position.
Question 2: In a matrix pattern, each figure in a row is reflected horizontally moving left to right. If the first figure points right, what does the third figure do?
- Points right (Correct answer)
- Points left
- Points up
- Points down
Correct answer: Points right
Reflecting twice (right→left→right) returns the figure to its original orientation, so the third figure points right.
Question 3: A triangle with its apex pointing up is reflected across the horizontal axis. The resulting figure has its apex pointing:
- Up
- Left
- Down (Correct answer)
- Right
Correct answer: Down
Reflecting across the horizontal axis flips the figure vertically, so an upward-pointing apex becomes a downward-pointing apex.
Question 4: Which rotation maps a figure onto itself (appears unchanged)?
- 45°
- 90°
- 180°
- 360° (Correct answer)
Correct answer: 360°
A 360° rotation returns any figure exactly to its starting position, making it appear unchanged.
Question 5: A figure is rotated 270° clockwise. This is equivalent to a rotation of how many degrees counter-clockwise?
- 270°
- 180°
- 90° (Correct answer)
- 45°
Correct answer: 90°
270° clockwise equals 360° − 270° = 90° counter-clockwise, since they arrive at the same final orientation.
Question 6: In a Raven's matrix, the top-left figure is an arrow pointing northeast. After a 90° clockwise rotation, the arrow points:
- Northwest
- Southeast (Correct answer)
- Southwest
- Northeast
Correct answer: Southeast
Rotating a northeast-pointing arrow 90° clockwise shifts it to point southeast.
Question 7: A figure is reflected across the diagonal axis (top-left to bottom-right). A point originally in the top-right corner moves to:
- Bottom-left corner
- Top-left corner
- Bottom-right corner (Correct answer)
- Center
Correct answer: Bottom-right corner
Reflection across the main diagonal (top-left to bottom-right) swaps x and y coordinates, moving the top-right point to the bottom-right position.
A shape is rotated 90° clockwise.
Which transformation would return it to its original orientation?