Geometry

1. 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

• The effect of gravity on objects with different weights.

• The force required to move a box one meter

2. What can you infer about non-Euclidean geometry?

• It deals only with three-dimensional objects

• It is often more complicated than Euclidean geometry

• It was developed in Ancient Greece

• It has virtually no practical uses

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

• A land surveyor

• A land surveyor

• A soldier

• A priest

4. In geometry, how large is a point?

• The size of a period on a printed page

• Exactly one millimeter in diameter

• One million times smaller than the earth's circumference

• It has no real size

5. 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

• B, C, A

• A, C, B

• B, A, C

6. How is a line segment different from a line?

• Line segments are two-dimensional; lines are one-dimensional

• Lines can be represented on single planes; line segments can only be represented on multiple planes

• Line segments have finite lengths; lines go on forever

• Line segments are geometric figures; lines are not

7. Which of the following is a three-dimensional shape?

• A square

• A triangle

• A circle

• A cone

8. 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

• It's impossible to draw a line that continues forever

• It's impossible to draw a line with zero dimensions

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

• A ship's captain

• An architect

• An astrologer

• A computer programmer

10. To draw a perfect circle, you'll need:

• A protractor

• A sextant

• A compass

• A spirograph