Raven's Progressive Matrices Figure Rotation and Reflection Flashcards

In the given 3x3 matrix, a central figure undergoes a transformation in each row. The first row shows a capital letter 'F'. The second figure in the row is a horizontal reflection of the first. The third figure is a horizontal reflection of the second. The second row follows the same pattern with a letter 'R'. The third row starts with a letter 'J'. Which figure correctly completes the third row?

Answer: The original capital letter 'J'.

The pattern across each row is: Original Figure -> Horizontal Reflection -> Horizontal Reflection. A horizontal reflection of a horizontal reflection returns the figure to its original state. Therefore, the third figure in the row must be the same as the first, which is the original capital letter 'J'.

A 3x3 matrix displays a pattern. In each row, a square containing a single black dot moves from one cell to the next. In the first row, the dot is in the top-left, then top-right, then bottom-right. In the second row, the dot is in the top-right, then bottom-right, then bottom-left. In the third row, the dot is in the bottom-left, then top-left. Which of the following options completes the pattern for the third row?

Answer: A square with a dot in the top-right corner.

The pattern in each row is a 90-degree clockwise rotation of the dot's position around the corners of the square. In the third row, the dot moves from bottom-left to top-left. The next 90-degree clockwise step would move the dot to the top-right corner.

Consider a sequence where a simple shape is transformed. The sequence is: 1. An arrow pointing up. 2. The arrow is rotated 180 degrees. 3. The resulting figure is reflected across a vertical axis. What is the final orientation of the arrow?

Answer: Pointing down.

Step 1: Arrow points up (↑). Step 2: Rotating it 180 degrees makes it point down (↓). Step 3: Reflecting a downward-pointing arrow, which is symmetrical, across a vertical axis results in no visible change. The arrow remains pointing down.

In a matrix, the figure in each cell is determined by the properties of the figures in the row and column. Moving across a row, the figure rotates 45 degrees clockwise. Moving down a column, the figure is reflected across a horizontal axis. If the figure in the top-left cell is an arrow pointing directly to the right (→), what is the figure in the second row, second column?

Answer: An arrow pointing up and to the right.

To find the figure in the second row, second column, we can first determine the figure in the first row, second column. The rule is to rotate 45 degrees clockwise across the row. So, the arrow pointing right (→) becomes an arrow pointing down and to the right (↘). Next, we apply the column rule, which is to reflect the figure across a horizontal axis. Reflecting the down-right arrow (↘) across a horizontal line results in an arrow pointing up and to the right (↗).

A three-part sequence shows a square divided into four quadrants. In the first figure, the top-left quadrant is shaded. In the second figure, the top-right quadrant is shaded. Which of the following figures represents the third step in a sequence governed by a single, consistent rotation?

Answer: A square with the bottom-right quadrant shaded.

The pattern is a simple 90-degree clockwise rotation of the shaded quadrant. The shaded block moves from the top-left to the top-right. The next 90-degree clockwise rotation would move the shaded block to the bottom-right quadrant.

Observe a 3x3 grid where each cell contains a shape. The rule for the grid is that the figure in the third column is a result of combining the figures from the first two columns. Specifically, the third figure is the first figure after it has been rotated to the orientation of the second figure. In a given row, the first figure is a 'T' shape. The second figure is a 'T' shape rotated 90 degrees clockwise (lying on its side, pointing right). What is the resulting figure in the third column?

Answer: A 'T' shape rotated 90 degrees clockwise (pointing right).

The rule states that the figure in the third column is the first figure rotated to match the orientation of the second figure. Since the first figure is a 'T' and the second figure is a 'T' rotated 90 degrees clockwise, the resulting figure in the third column must also be a 'T' shape rotated 90 degrees clockwise.