Figural Analogy Transformations Flashcards

The first figure is to the second figure as the third figure is to which answer choice? Figure 1: A large square contains a single, small, black-filled circle in the upper-left corner. Figure 2: The same large square contains two small, black-filled circles in the lower-right corner. Figure 3: A large square contains a single, small, unfilled triangle in the upper-right corner.

Answer: A large square containing two small, unfilled triangles in the lower-left corner.

The transformation rule is twofold: the inner shape moves to the diagonally opposite corner, and its quantity doubles. Applying this to Figure 3, the single triangle in the upper-right corner must move to the lower-left corner and become two triangles. The shading (unfilled) remains the same.

Observe the relationship between the first and second figures to determine the correct corresponding fourth figure. Figure 1: A capital letter 'L' shape. Figure 2: The 'L' shape is rotated 90 degrees clockwise and is now filled solid black. Figure 3: A capital letter 'T' shape.

Answer: A 'T' shape rotated 90 degrees clockwise and filled solid black.

The relationship between Figure 1 and Figure 2 involves two transformations: the figure is rotated 90 degrees clockwise, and its fill changes from outline to solid. To find the correct answer, the same transformations must be applied to Figure 3. A 'T' shape rotated 90 degrees clockwise and filled solid black is the correct result.

Which of the answer choices completes the analogy? Figure 1: A large circle with a vertical line dividing it in half. The right half of the circle is shaded. Figure 2: A large circle with a horizontal line dividing it in half. The bottom half of the circle is shaded. Figure 3: A large square with a vertical line dividing it in half. The left half of the square is shaded.

Answer: A large square with a horizontal line dividing it in half. The top half is shaded.

The transformation involves rotating the entire figure, including its internal dividing line and shaded area, by 90 degrees counter-clockwise. Applying a 90-degree counter-clockwise rotation to Figure 3, the vertical dividing line becomes horizontal, and the shaded left half moves to become the shaded top half.

Given the first pair of figures, select the figure that completes the second pair. Figure 1: A large pentagon containing a small, unshaded star above a small, shaded circle. Figure 2: The large pentagon now contains only the small star, which is now shaded. Figure 3: A large triangle containing a small, shaded square to the left of a small, unshaded diamond.

Answer: A large triangle containing only the small, unshaded diamond, which is now shaded.

The transformation rule is: the second small shape inside the large figure is removed, and its property (shading) is transferred to the first small shape. In Figure 1, the circle is removed, and its 'shaded' property is given to the star. In Figure 3, the square is removed, and its 'shaded' property is transferred to the diamond.

The first figure changes to the second figure in a certain way. Find the answer choice that shows the same change for the third figure. Figure 1: A solid black arrow pointing to the right. Figure 2: An outline (unfilled) arrow pointing to the left. Figure 3: A solid black triangle with its base at the bottom.

Answer: An outline triangle with its base at the top.

The relationship shows two transformations: the figure is reflected horizontally (or flipped 180 degrees), and its fill style is inverted (from solid to outline). Applying this to Figure 3, the solid triangle must be flipped vertically (180-degree rotation) so its base is at the top, and it must become an outline figure.

Which figure from the options logically follows the pattern set by the first three figures? Figure 1: A large square is divided into four smaller quadrants. A small circle is in the top-left quadrant. Figure 2: The small circle has moved to the top-right quadrant. Figure 3: A large square is divided into four quadrants. A small triangle is in the bottom-right quadrant.

Answer: The small triangle moves to the bottom-left quadrant.

The transformation rule is a single clockwise movement from one quadrant to the next. In the first pair, the circle moves clockwise from the top-left to the top-right. Therefore, in the second pair, the triangle must move clockwise from the bottom-right to the bottom-left quadrant.