Which term best describes the relation of two figures in the same plane where corresponding points lie on concurrent lines and corresponding lines meet in collinear points?

Which term best describes the relation of two figures in the same plane where corresponding points lie on concurrent lines and corresponding lines meet in collinear points?

• A. Change in perspective
• B. Accretion
• C. Similarity
• D. Parallelogram

Answer: (A)

Perspective captures this relation. When two figures in the same plane have corresponding points that all lie on lines through a single point, there’s a common viewing point—each point of one figure aligns with its match on the other along lines radiating from that center. At the same time, the intersections of corresponding sides align on a single line, called the axis of perspectivity. This combination—the projection from a viewpoint and the axis along which corresponding sides meet—defines a perspective relationship between the figures. The other terms don’t fit because they describe growth, a specific quadrilateral, or a shape similarity that doesn’t involve viewing from a point and the associated axis.

Perspective captures this relation. When two figures in the same plane have corresponding points that all lie on lines through a single point, there’s a common viewing point—each point of one figure aligns with its match on the other along lines radiating from that center. At the same time, the intersections of corresponding sides align on a single line, called the axis of perspectivity. This combination—the projection from a viewpoint and the axis along which corresponding sides meet—defines a perspective relationship between the figures. The other terms don’t fit because they describe growth, a specific quadrilateral, or a shape similarity that doesn’t involve viewing from a point and the associated axis.