Lines and Angles
Lines are everywhere…
Line segments can be measured from beginning to end.ABWe mark a line segment with pointsThose points are labeled with lettersWe can name this line segment either:ABBA
Lines vs. Line SegmentsLines are different from line segments.We can see the beginning and ending of a line segment.Lines extend on foreverTo show the difference between a line and a line segment we use arrows instead of pointsABWe name a line by showing the arrows:AB
ABDCTwo line segments are shown hereABCD
When lines or line segments meet…ABDCThey intersect to form angles…
The point at the intersection is called the vertex.EADBWhen we name the angle, the vertex must be in the middleC
The point at the intersection is called the vertex.AEDEADBWhen we name the angle, the vertex must be in the middleorCDEAPoint E, the vertex, is alwaysin the middle
XNotice any angles?YACPBACXYZPQRJHIQZRBJIName these angles…H
ABDCWhen 2 line segments meet to form a 90° angle they called perpendicular line segments
A90°90°90°90°BDCPerpendicular lines intersect to form a 90° angle also referred to as a right angle.You can check if the angle right by holding up a piece of notebook paper.
PerpendicularA90°BDCWhere do we see right angles?
PerpendicularABDCWhere do we see right angles?
Let’s Look at the Strata Center again…Notice many perpendicular lines?Not quite 90°AASmaller than 90° again.BBDDCC
AABBDDCC
AABBDDCC
Acute Angle = Less than 90°AABBDDCCBoth of these angles are smaller than 90°Angles smaller than 90° are called acute
What about angles larger than 90°?
What about angles larger than 90°?Angles larger than 90° are called obtuseNotice all of the extra room?
If you extend these two lines segments will they ever touch?Right, if they did what might happen?
When two line segments  on the same plane never touch they are calledParallelLots of parallel lines
Do these lines intersect?But, if you extend them outward, would they intersect?Are these lines parallel?No, but actually they are.  It’s just the angle of the picture.
Examples of Parallel Lines

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