Soru

Zorluk: OrtaSuperimposition of Shapes

Which composite figure correctly corresponds to each set of geometric components? Match each set of transparent geometric components (Sets 1-3) to its correct superimposed composite figure (Figures X-Z). Assume the base square remains stationary while the overlay square undergoes the indicated rotation before being placed exactly on top of the base square.

  • Set 1: Base square with a diagonal line from top-left to bottom-right. Overlay square has a solid circle in the top-left quadrant, rotated 90° clockwise.Figure X: Square with a diagonal from top-left to bottom-right, and a solid circle in the top-right quadrant.
  • Set 2: Base square with a diagonal line from bottom-left to top-right. Overlay square has a solid circle in the top-left quadrant, rotated 180°.Figure Z: Square with a diagonal from bottom-left to top-right, and a solid circle in the bottom-right quadrant.
  • Set 3: Base square with a diagonal line from bottom-left to top-right. Overlay square has a solid circle in the bottom-left quadrant, rotated 90° clockwise.Figure Y: Square with a diagonal from bottom-left to top-right, and a solid circle in the top-left quadrant.

Cevap

Set 1 matches Figure X, Set 2 matches Figure Z, and Set 3 matches Figure Y.
Each correct pairing strictly follows spatial transformation rules. By systematically tracking the starting quadrant of the circle in the overlay, applying the stated degree and direction of rotation, and laying it over the specified diagonal base, the correct composite image can be logically deduced.

Adım Adım Çözüm

1
Analyze Set 1 rotation and layering.
The top-left circle moves to the top-right. Placed over a top-left to bottom-right diagonal, this matches Figure X.
A 90-degree clockwise rotation shifts elements to the next adjacent quadrant in a clockwise direction.
2
Analyze Set 2 rotation and layering.
The top-left circle moves to the bottom-right. Placed over a bottom-left to top-right diagonal, this matches Figure Z.
A 180-degree rotation shifts elements diagonally to the completely opposite quadrant.
3
Analyze Set 3 rotation and layering.
The bottom-left circle moves to the top-left. Placed over a bottom-left to top-right diagonal, this matches Figure Y.
A 90-degree clockwise rotation shifts the bottom-left quadrant directly up to the top-left quadrant.

Anahtar Kavram

Superimposition of Shapes
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