Geometry 1 3 Segments Rays and Distance Review

Geometry 1 -3 Segments, Rays, and Distance

Review: The Point The point is an exact location Like an infinitely small dot Named with a capital letter Q Point Q

Review: The Line If we string an infinite number of points straight out in both directions… A one-dimensional line is formed Named with a lower case letter or two points on the line C U Going on forever UC or CU Going on forever

Review: The Plane If we string and infinite number of lines in both directions… Named with three or more A two-dimensional plane is formed. points in the plane

The Ray If we string an infinite number of points straight out in only one direction… A one-dimensional ray is formed Named with the endpoint and another point on the ray GZ G Z It is like a line that has been chopped at one end. Chop! Going on forever

The Ray – a piece of a line that has one endpoint and continues infinitely in only one direction Opposite rays – two rays with a common endpoint that extend in opposite directions (making a line)

The Segment If we draw an infinite number of points between 2 endpoints, it gives us a piece of a line of finite length… NO or A line segment is formed. N O It is like a line that has been chopped at both ends. Double Chop! ON

The Segment -- a piece of a line with a specific length A B AB “segment AB”

Length • length of a line segment – length of a segment is defined as the distance between the endpoints of the segment • --the length of AB (previous) would be denoted as AB

Notebook Terms • Postulate or Axiom – a statement that is accepted as true • Theorem – a statement that can be proven

Ruler Postulate • Ruler Postulate – any line can be made into a number line such that the distance between any two points is the absolute value of the difference of their coordinates.

Segment Addition If B is between A and C then, AB + BC = AC A B 53 Z x + 12 I 2 x – 7 P C

Congruent • Same size, same shape • Congruent segments have equal lengths

Midpoints and Bisectors The midpoint of a segment is in the exact middle A bisector is anything that passes through the midpoint