Euclidean and Spherical geometry

What is the sum of the interior angles of a triangle in Euclidean Geometry?

• 180

• 200

• 360

• 90

Tags

CCSS.HSG.CO.C.10

In Spherical Geometry, what can the sum of the angles of a triangle be?

• Greater than 180

• 180

• Less than 180

• 360

Which type of geometry does not have parallel lines?

• None

• Euclidean

• Both have Parallel

• Spherical

On a sphere, what is the shortest path between two points called?

• A great circle

• Arc
• Chord
• Diameter

What is a key difference between lines in Euclidean and Spherical Geometry?

• Lines in Euclidean Geometry are infinite

• Lines in Spherical Geometry are longer

• Lines in Euclidean Geometry are straight; in Spherical Geometry, they are arcs.

• There is no difference

What is a unique characteristic of Spherical Geometry?

• It only works on flat surfaces

• It has no real world applications

• The surface is curved, and triangles have more than 180 degrees.

• Parallel Lines never intersect

: Spherical geometry is crucial in which system that helps us navigate worldwide?

• Computer Graphics

• Global Positioning System (GPS)

• Cellular Networks

• Railway Systems

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What field heavily relies on spherical geometry to calculate flight paths?

• Architecture

• Aviation

• Robotics

• Agriculture

The geometry of flat planes, straight lines, and points.

• Euclidean Geometry

• Coordinate Geometry

• Coordinate Proof

• Spherical GeometrySadsf

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.A.2

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.9

A non-Euclidean geometry in which a plane is defined as the surface of a sphere.

• Representation

• Euclidean Geometry

• Coordinate Geometry

• Spherical Geometry