Geometry 1 3 Segments Rays and Distance Review

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Geometry 1 -3 Segments, Rays, and Distance

Geometry 1 -3 Segments, Rays, and Distance

Review: The Point The point is an exact location Like an infinitely small dot

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

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…

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

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

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

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

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

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

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

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 =

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

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

Midpoints and Bisectors The midpoint of a segment is in the exact middle A

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

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