Lesson 14: Geometric Transformations Quiz

What is the term used to describe a function mapping a set X onto another set or onto itself in mathematics?

• Translation

• Reflection

• Rotation

• Transformation

Who proposed a program to classify and characterize geometries using group theory in 1872?

• Leonardo da Vinci

• Albrecht Dürer

• Raphael

• Felix Klein

What is the pedagogic approach to teaching euclidean geometry called?

• Projective geometry

• Topological geometry

• Synthetic geometry

• Transformation geometry

Which type of isometries on the plane also preserve angles?

• Rotation

• Translation

• Reflection

• Glide reflection

What is the value of the golden ratio Φ?

• 1.618

• 3.142

• 2.718

• 1.414

What is the name of the rectangle whose sides are in the proportion of the golden ratio?

• Parallelogram

• Square

• Rhombus

• Golden rectangle

Which Greek sculpture is considered to have been proportioned according to the golden ratio?

• Bathers by Seurat

• Notre Dame Cathedral

• The Parthenon

• Venus de Milo

What is the mathematical term for a donut?

• Cylinder

• Torus

• Cube

• Sphere

What theorem states that at any given moment, there exists a pair of antipodal points on the surface of the earth with the same temperature and pressure?

• The Borromean Rings Theorem

• The Ham Sandwich Theorem

• The Hairy Ball Theorem

• The Pancake Theorem

What do mathematicians study related to DNA?

• Squares

• Triangles

• Rings

• Knots