Spherical vs euclidean

  Statement: Through two give points there is...
Euclidean: One and only one line.
Spherical: ??

• Two lines
• A circle
• A great circle
• Perpendicular lines

Tags

CCSS.HSG.CO.A.1

The study of Euclidean geometry is based upon a planar surface. What type of surface is the basis for the study of Spherical Geometry?

• Plane
• Sphere
• Circle
• Cube

Which of the following real life objects is a good representation of spherical geometry

• table top
• ball
• saddle

Tags

CCSS.HSG.GMD.A.3

There is only one great circle on a sphere.

• True

• False

according to Spherical Geometry, a point is a location

• True

• False

According to Spherical Geometry, a Line is infinitly long

• True

• False

according to Spherical Geometry, a plane is a _________surface

• flat

• curved

According to Euclidean Geometry, a line extends infinity

• True

• False

Tags

CCSS.HSG.CO.A.1

According to ____________ geometry, a plane is a flat surface

• Euclidean

• Spherical

lines in _________ geometry are also called "Great Circles"

• Euclidean

• Spherical