Raven's Progressive Matrices Test Raven's Progressive Matrices Symmetry and Mirror Patterns 3

Question 1

A Raven's matrix combines two independent rules: (1) each row has left-right mirror symmetry, and (2) shading increases from top row to bottom row. The bottom-left cell shows an unshaded triangular shape. What must the bottom-right cell contain?

Accepted Answer

The mirror image of the bottom-left shape with the same (unshaded) fill

Answer

The mirror symmetry rule governs left-right shape orientation while the shading rule is determined by row position; both rules apply independently, so the right cell mirrors shape orientation but retains the same shading as the bottom row.

Question 2

A Raven's matrix has diagonal symmetry along the main diagonal (top-left to bottom-right). Cell (row 1, col 2) contains a star. Which cell must also contain a star to satisfy this symmetry rule?

Accepted Answer

Cell (row 2, col 1)

Answer

Main diagonal symmetry maps cell (i, j) to cell (j, i) by swapping indices, so cell (1, 2) is mirrored by cell (2, 1).

Question 3

A Raven's matrix has anti-diagonal symmetry along the diagonal running from top-right to bottom-left. In a 3×3 matrix, cell (row 1, col 1) mirrors which cell?

Accepted Answer

Cell (row 3, col 3)

Answer

For anti-diagonal symmetry, cell (i, j) maps to cell (4-j, 4-i) in a 3×3 matrix; cell (1,1) maps to cell (4-1, 4-1) = cell (3, 3).

Question 4

A right-pointing arrow is positioned at the top of a figure. When this figure is reflected across the main diagonal (the axis from top-left to bottom-right), where does the arrow appear and in what direction does it point?

Accepted Answer

On the left side, pointing downward

Answer

Reflecting across the main diagonal swaps x- and y-coordinates: the top position maps to the left position, and the rightward direction maps to the downward direction.

Question 5

In a Raven's matrix that presents a figure alongside its mirror image in the same row, which primary cognitive skill is being assessed?

Accepted Answer

Mentally performing a spatial transformation and recognizing the correct result

Answer

Identifying mirror images requires the test-taker to mentally execute a spatial reflection transformation and match its result against the available answer options.

Raven's Progressive Matrices Test Practice Test

Raven's Progressive Matrices Test Practice Test

Raven's Progressive Matrices Test Raven's Progressive Matrices Symmetry and Mirror Patterns 3