ACtE08 · Chapter 8Demo2 · Set 2🏛️ Past Licensure QuestionID: 04282e80
In 2D computer graphics, to translate a circle to a new position on the display, which parameter(s) must undergo transformation?
In 2D computer graphics, to translate a circle to a new position on the display, which parameter(s) must undergo transformation?
Multiple Choice Options
- A✓ Correct Option
Center coordinates only
- B
Center coordinates and radius
- C
All perimeter outline points individually
- D
Radius only
Detailed Technical Solution & Explanation
Translation is a rigid-body geometric transformation that alters an object's spatial location without altering its size, orientation, or geometric shape. In computer graphics, a circle is mathematically defined by its center point and scalar radius . To translate the circle by displacement vector , only the center coordinates need to be shifted:
The radius remains completely invariant ().
Option Analysis:
•
Option A (Center coordinates only): Correct; shifting relocates the entire circle without needing recalculation of perimeter points.
•
Option B (Center coordinates and radius): Incorrect; modifying radius alters circle size (scaling), not translation.
•
Option C (All perimeter outline points individually): Inefficient and redundant; circles are rendered parametrically from the translated center.
•
Option D (Radius only): Incorrect; changing radius alone scales the circle in place.
Reference: Demo2 · Set 2NEC Licensure Syllabus