Modern Geometry

Which topic is part of the field of geometry?

• The length of the sides of a right triangle

• The time it takes to travel between two points

What can you infer about non-Euclidean geometry?

• It deals only with three-dimensional objects

• It is often more complicated than Euclidean geometry

In Ancient Greece, which person was most likely to use geometry to do his job?

• A soldier

• A land surveyor

In geometry, how large is a point?

• It has no real size.

• The size of a period on a printed page

Place the following figures in order, smallest to largest, by the number of dimensions they contain: A) Point; B) Plane; C) Line

• A, B, C

• A, C, B

How is a line segment different from a line?

• Line segments have finite lengths; lines go on forever

• Line segments are geometric figures; lines are not

Which of the following is a three-dimensional shape?

• A cone

• A circle

Why is it impossible to draw a line segment as it exists in Euclidean geometry?

• Any line you draw, no matter how narrow, will have width

• It's impossible to draw a line that's perfectly straight

In the modern world, which person is most likely to use geometry to do her job?

• A ship´s captain

• An architect

To draw a perfect circle, you'll need:

• a protractor

• a compass