Chapter 1 - Basic Euclidean Geometry

Question 1

points that make up a line, plane, and space

Answer 1

a line contains at least two points; a plane contains at least three points not all in one line; space contains four points not all in one plane

Question 2

through any two points

Answer 2

through any two points there is EXACTLY ONE line

Question 3

through any three points

Answer 3

through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane

Question 4

if two points are in a plane

Answer 4

if two points are in a plane, then the line that contains the points is in that plane

Question 5

if two planes intersect,

Answer 5

if two planes intersect, then their intersection is a line

Question 6

lines intersecting in a point

Answer 6

if two lines intersect, then they intersect in exactly one point

Question 7

through a line and a point not in the line

Answer 7

through a line and a point not in the line there is exactly one plane

Question 8

if two lines intersect, how many planes contain the lines?

Answer 8

if two lines intersect, then exactly one plane contains the lines

Question 9

definition of adjacent angles

Answer 9

two angles in a plane with common side and vertex but no common interior points