Raven's Progressive Matrices Test Raven's Progressive Matrices Figure Rotation and Reflection 3 — Questions and Answers
Question 1: In a 3×3 Raven's matrix, figures rotate 45° clockwise across each row. If the first figure points north, what direction does the third figure point?
- North
- Northeast
- East (Correct answer)
- Southeast
Correct answer: East
Two 45° clockwise rotations (total 90°) rotate a north-pointing figure to point east.
Question 2: Which pair of transformations always produces the same result as a 180° rotation?
- Two consecutive 90° clockwise rotations
- A horizontal then vertical reflection (Correct answer)
- A vertical reflection only
- A 90° rotation and a 45° rotation
Correct answer: A horizontal then vertical reflection
A horizontal reflection followed by a vertical reflection is equivalent to a 180° rotation for any figure.
Question 3: A letter 'R' is reflected across the vertical axis. The result most closely resembles:
- A normal R
- A backwards R (mirror image) (Correct answer)
- An upside-down R
- An upside-down backwards R
Correct answer: A backwards R (mirror image)
Reflecting the letter R across the vertical axis creates a mirror image — a backwards R.
Question 4: In a pattern where each successive figure is rotated 90° counter-clockwise, a figure pointing east at position 1 will point which direction at position 4?
- East (Correct answer)
- North
- West
- South
Correct answer: East
Three 90° counter-clockwise rotations (270° total) bring a figure pointing east to the same orientation as one 90° clockwise, and four rotations (360°) return it to east.
Question 5: A square with a dot in the top-right corner is rotated 180°. Where is the dot after rotation?
- Top-right
- Top-left
- Bottom-right
- Bottom-left (Correct answer)
Correct answer: Bottom-left
A 180° rotation moves the top-right corner to the bottom-left corner position.
Question 6: Two figures are mirror images of each other across a vertical line. If the left figure has a shaded region on its left side, the right figure has its shading on its:
- Left side
- Right side (Correct answer)
- Top
- Bottom
Correct answer: Right side
A vertical mirror reflection swaps left and right, so shading on the left of the original appears on the right of the reflection.
Question 7: Which of the following is NOT a property preserved under rotation?
- Shape of the figure
- Size of the figure
- Orientation relative to page edges (Correct answer)
- Area of the figure
Correct answer: Orientation relative to page edges
Rotation preserves shape, size, and area, but changes the figure's orientation relative to fixed page edges.
In a 3×3 Raven's matrix, figures rotate 45° clockwise across each row.
If the first figure points north, what direction does the third figure point?