#1
In ratio partitioning of directed line segments, what does the ratio represent?
Direction
ExplanationRatio represents the direction of the line segment.
#2
When applying ratio partitioning to a line segment, what does a ratio of 0 represent?
The line segment disappears.
ExplanationA ratio of 0 causes the line segment to vanish.
#3
In ratio partitioning of directed line segments, how does a ratio less than 0 affect the line?
The direction of the line segment is reversed.
ExplanationA ratio less than 0 reverses the direction of the line segment.
#4
How does ratio partitioning handle line segments with a ratio of 1 in terms of length and direction?
Length remains unchanged, direction remains unchanged.
ExplanationA ratio of 1 leaves both length and direction of the line segment unaffected.
#5
In ratio partitioning, how does a negative ratio affect the direction of a line segment?
The direction is reversed.
ExplanationA negative ratio in ratio partitioning reverses the direction of the line segment.
#6
Which of the following statements is true about the ratio partitioning of directed line segments?
It can be applied to line segments in any direction.
ExplanationRatio partitioning is applicable to line segments regardless of their direction.
#7
What is the primary benefit of using ratio partitioning in geometric computations?
Increased accuracy in calculations
ExplanationRatio partitioning enhances the precision of geometric computations.
#8
In the ratio partitioning of directed line segments, what does a negative ratio signify?
The direction of the line segment is reversed.
ExplanationA negative ratio reverses the direction of the line segment.
#9
How does ratio partitioning contribute to computer graphics and animation?
It enables smooth motion paths for animated objects.
ExplanationRatio partitioning facilitates smooth motion paths for animated objects in computer graphics and animation.
#10
What is the geometric interpretation of applying ratio partitioning to a line segment with a ratio of 1?
No change to the line segment.
ExplanationA ratio of 1 maintains the line segment without any alterations.
#11
When applying ratio partitioning to a directed line segment, what happens if the ratio is greater than 1?
The line segment is extended beyond its original length.
ExplanationA ratio greater than 1 results in extending the line segment beyond its initial length.
#12
In the context of directed line segments, what is the significance of a negative ratio?
It indicates a counterclockwise rotation.
ExplanationA negative ratio denotes a counterclockwise rotation of the line segment.
#13
In the context of directed line segments, what is the significance of a ratio between 0 and 1?
The line segment is stretched.
ExplanationA ratio between 0 and 1 stretches the line segment.
#14
When dealing with ratio partitioning, how does a ratio greater than 1 affect the direction of the line segment?
The direction is reversed.
ExplanationA ratio greater than 1 reverses the direction of the line segment.
#15
When is ratio partitioning particularly useful in the context of computer-aided design (CAD)?
In creating complex 3D models.
ExplanationRatio partitioning is valuable for constructing intricate 3D models in CAD.