Point

• a location, no size, small dot, capital letter

• set of all points

• set of points that extends in two opposite directions without end. Name it using any two points on the line (capital) or with a single lowercase letter.

• points on the same line

Tags

CCSS.HSG.CO.A.1

Space

• a location, no size, small dot, capital letter

• set of all points

• set of points that extends in two opposite directions without end. Name it using any two points on the line (capital) or with a single lowercase letter.

• points on the same line

Tags

CCSS.HSG.CO.A.1

Line

• a location, no size, small dot, capital letter

• set of points that extends in two opposite directions without end. Name it using any two points on the line (capital) or with a single lowercase letter.

Tags

CCSS.HSG.CO.A.1

Collinear Points

• flat surface with no thickness name using either a single capital letter or at least three noncollinear points

• points on the same line

Tags

CCSS.HSG.CO.A.1

Plane

• flat surface with no thickness name using either a single capital letter or at least three noncollinear points

• set of points that extends in two opposite directions without end. Name it using any two points on the line (capital) or with a single lowercase letter.

Tags

CCSS.HSG.CO.A.1

Coplanar

• points and lines in the same plane

• points on the same line

Tags

CCSS.HSG.CO.A.1

Postulate or Axiom

• accepted statement of fact doesn't need to be proven true

• through any two points there is exactly one line

• If two lines intersect, then they intersect in exactly one point

• If two planes intersect, then they intersect in exactly one line

• Through any three noncollinear points, there is exactly one plane

Postulate 1-1

• accepted statement of fact doesn't need to be proven true

• through any two points there is exactly one line

• If two lines intersect, then they intersect in exactly one point

• If two planes intersect, then they intersect in exactly one line

• Through any three noncollinear points, there is exactly one plane

Tags

CCSS.4.G.A.1

Postulate 1-2

• accepted statement of fact doesn't need to be proven true

• through any two points there is exactly one line

• If two lines intersect, then they intersect in exactly one point

• If two planes intersect, then they intersect in exactly one line

• Through any three noncollinear points, there is exactly one plane

Tags

CCSS.4.G.A.1

Postulate 1-3:

• accepted statement of fact doesn't need to be proven true

• through any two points there is exactly one line

• If two lines intersect, then they intersect in exactly one point

• If two planes intersect, then they intersect in exactly one line

• Through any three noncollinear points, there is exactly one plane