A) A transformation that preserves collinearity and incidence. B) A transformation that only preserves angles. C) A transformation that reflects geometric figures. D) A transformation that changes the size of geometric figures.
A) One. B) Three. C) Two. D) Four.
A) Euclid. B) Jean-Victor Poncelet. C) Blaise Pascal. D) Rene Descartes.
A) A transformation that scales lengths by a fixed factor. B) A property or relationship that remains unchanged under projective transformations. C) A line that passes through the center of a triangle. D) A point that lies on a conic section.
A) Parallel lines intersect at a point at infinity. B) Parallel lines never intersect in projective space. C) Parallel lines remain equidistant in projective space. D) Parallel lines are merged into a single line in projective geometry.
A) Perspective drawing is a separate field from geometry. B) Projective geometry is not relevant to art or drawing. C) Perspective drawing involves only parallel lines. D) Projective geometry provides the underlying principles for realistic perspective drawings.
A) A projective transformation that maps lines to lines and preserves the collinearity of points. B) A transformation that distorts the shapes of geometric figures. C) A transformation that only affects the position of points. D) A transformation that reflects points across a line.
A) The group formed by reflections in a geometric figure. B) The group of transformations that preserve circle properties. C) The group of projective transformations of a projective space over a field. D) The group of perpendicular lines in a plane. |