Question 1
What makes far-away objects look smaller in a drawing?
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Key Idea
Perspective works by making parallel lines in the scene meet at a vanishing point on the horizon, so equal-sized objects take up less space as they recede.
Projective Geometry Quiz
Incidence and perspective without distance.
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Question 2
What makes a picture by sending points along straight rays to a surface?
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Key Idea
In perspective drawing, a projection can make parallel lines look like they meet at a vanishing point, which is why distant railroad tracks seem to converge.
Question 3
This image question appears in the interactive quiz.
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Key Idea
A vanishing point makes parallel directions appear to meet in perspective.
Question 4
What creates vanishing points where sets of parallel lines seem to meet?
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Key Idea
In linear perspective, each 3D direction has its own vanishing point on the horizon, so railroad tracks share one, while a box can show two or three at once.
Question 5
In $\mathbb{P}^2$, a point at infinity lies off the line at infinity.
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Key Idea
In $\mathbb{P}^2$, a point at infinity lies on the line at infinity. In homogeneous coordinates, points at infinity are exactly those with $z=0$, and each direction of parallel affine lines meets in a unique such point on the line at infinity.
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