AP Proportions

What is the Golden Ratio approximately equal to?

• 1.2

• 1.414

• 1.618

• 2.0

Answer explanation

The Golden Ratio (Φ) is approximately 1.618 and is found by dividing a line into two parts such that the whole length divided by the long part equals the long part divided by the short part.

Le Corbusier’s Modulor system is based on:

• The height of ancient Greek statues

• Vitruvius’s theory

• The proportions of the Golden Ratio and human scale

• A fixed modular grid

Answer explanation

The Modulor was developed by Le Corbusier to link mathematics, the human body, and architecture.

The Vitruvian Man illustrates the idea that the human body is:

• Inherently asymmetrical

• Perfectly proportional and symmetrical

• Irregular but functional

• Divided into 8 head units

Answer explanation

Da Vinci’s Vitruvian Man demonstrates ideal human proportions, based on Vitruvian principles.

Which of the following is NOT part of Vitruvius’s Six Principles of Design?

• Symmetry

• Order

• Innovation

• Propriety

Answer explanation

The six principles are: Order, Arrangement, Eurythmy, Symmetry, Propriety, and Economy.

What does Vitruvius mean by “Symmetry” in his principles of architecture?

• Perfect bilateral mirroring

• Equal cost in all parts

• Harmony and proportional balance between parts and the whole

• Identical finishes across all surfaces

Answer explanation

Vitruvian symmetry is about proportional relationships that create a coherent and balanced design.

Eurythmy, as described by Vitruvius, most closely relates to:

• Visual rhythm and harmony

• Physical energy efficiency

• Structural stability

• Mathematical formulas

Answer explanation

Eurythmy means gracefulness or pleasing rhythm in arrangement and design

Which modern architect is most associated with the Modulor?

• Frank Lloyd Wright

• Zaha Hadid

• Tadao Ando

• Le Corbusier

Answer explanation

Le Corbusier created the Modulor system to standardize architectural proportions based on human dimensions.

Le Corbusier's Modulor is based on which two key measurements?

• 100 cm and 150 cm

• 1.83 m and 1.13 m

• 1.50 m and 2.00 m

• 90 cm and 2.20 m

Answer explanation

These are the average height of a man with raised and lowered arms respectively.

In practical design, how is the Modulor system applied?

• To define material specifications

• To guide the scaling of architectural elements like doors and stairs

• To create abstract art

• To engineer structural components

Answer explanation

The Modulor helps design spaces and elements that feel comfortable and intuitive to human users.

Why is human proportion a critical consideration in architectural placemaking?

• To ensure mathematical precision

• To follow traditional formulas

• To create environments that are comfortable and intuitive for users

• To enhance structural performance

Answer explanation

Designing to human scale ensures spatial comfort, usability, and psychological well-being.