Question

formation shown in the diagram.
6.

Explanation:

Step1: Analyze the transformation

The original figure (with points H, G, J, K) and the transformed figure (with points H', G', J', K') seem to involve a rotation or translation. Let's check the orientation and position. The original figure has H connected to G (right), H connected to J (down), J connected to K (left-up). The transformed figure has H' connected to G' (right? Wait, no, H' to G' is down, H' to J' is right, J' to K' is left-up. Wait, maybe a rotation. Let's see the angles and lengths. The key is to identify the transformation. But since the problem is about geometric figures (probably rotation or translation), we can see that the figure is rotated. Let's check the direction. The original J-K is a segment, transformed J'-K' is same. The H-G and H'-G': original H to G is right, transformed H' to G' is down? Wait, maybe a 90-degree rotation. Alternatively, maybe a translation and rotation. But the main thing is to describe the transformation. Wait, maybe the problem is to identify the transformation (like rotation, translation, reflection). Let's assume the problem is to find the transformation (e.g., rotation). Let's check the coordinates (mentally). Let's assign coordinates: Let’s say H is at (0,0), G at (1,0), J at (0,-1), K at (-0.5,-1.5). Then H' would be at (0,1), G' at (0,0), J' at (1,1), K' at (1,0.5). Wait, that looks like a 90-degree rotation counterclockwise? Or clockwise? Wait, maybe a rotation of 90 degrees clockwise around some point, or a translation and rotation. Alternatively, the figure is rotated 90 degrees. But since the problem is in Geometry (subfield of Mathematics), we can conclude that the transformation is a rotation (probably 90 degrees) or a combination, but the key is to identify the geometric transformation.

Step2: Confirm the transformation

Looking at the segments: HJ in original is vertical (down), H'J' in transformed is horizontal (right). HG in original is horizontal (right), H'G' in transformed is vertical (down). So that's a 90-degree clockwise rotation. So the transformation is a 90-degree clockwise rotation (or counterclockwise, depending on direction). Alternatively, translation and rotation. But the main point is that the figure is rotated. So the transformation is a rotation (e.g., 90 degrees) about a point (maybe the origin or a center).

Answer:

The figure undergoes a 90 - degree clockwise (or appropriate) rotation (specific transformation details depend on exact coordinates, but the geometric transformation is rotation).