Edm 1 lines and angles

Lines and Angles,[object Object]

Lines are everywhere…,[object Object]

Line segments can be measured from beginning to end.,[object Object],A,[object Object],B,[object Object],We mark a line segment with points,[object Object],Those points are labeled with letters,[object Object],We can name this line segment either:,[object Object],AB,[object Object],BA,[object Object]

Lines vs. Line Segments,[object Object],Lines are different from line segments.,[object Object],We can see the beginning and ending of a line segment.,[object Object],Lines extend on forever,[object Object],To show the difference between a line and a line segment we use arrows instead of points,[object Object],A,[object Object],B,[object Object],We name a line by showing the arrows:,[object Object],AB,[object Object]

A,[object Object],B,[object Object],D,[object Object],C,[object Object],Two line segments are shown here,[object Object],AB,[object Object],CD,[object Object]

When lines or line segments meet…,[object Object],A,[object Object],B,[object Object],D,[object Object],C,[object Object],They intersect to form angles…,[object Object]

The point at the intersection is called the vertex.,[object Object],E,[object Object],A,[object Object],D,[object Object],B,[object Object],When we name the angle, the vertex must be in the middle,[object Object],C,[object Object]

The point at the intersection is called the vertex.,[object Object],AED,[object Object],E,[object Object],A,[object Object],D,[object Object],B,[object Object],When we name the angle, the vertex must be in the middle,[object Object],or,[object Object],C,[object Object],DEA,[object Object],Point E, the vertex, is ,[object Object],always,[object Object],in the middle,[object Object]

X,[object Object],Notice any angles?,[object Object],Y,[object Object],A,[object Object],C,[object Object],P,[object Object],BAC,[object Object],XYZ,[object Object],PQR,[object Object],JHI,[object Object],Q,[object Object],Z,[object Object],R,[object Object],B,[object Object],J,[object Object],I,[object Object],Name these angles…,[object Object],H,[object Object]

A,[object Object],B,[object Object],D,[object Object],C,[object Object],When 2 line segments meet to form a 90° angle they called perpendicular ,[object Object],line segments,[object Object]

A,[object Object],90°,[object Object],90°,[object Object],90°,[object Object],90°,[object Object],B,[object Object],D,[object Object],C,[object Object],Perpendicular lines intersect to form a 90° angle also referred to as a right angle.,[object Object],You can check if the angle right by holding up a piece of notebook paper.,[object Object]

Perpendicular,[object Object],A,[object Object],90°,[object Object],B,[object Object],D,[object Object],C,[object Object],Where do we see right angles?,[object Object]

Perpendicular,[object Object],A,[object Object],B,[object Object],D,[object Object],C,[object Object],Where do we see right angles?,[object Object]

Let’s Look at the Strata Center again…,[object Object],Notice many perpendicular lines?,[object Object],Not quite 90°,[object Object],A,[object Object],A,[object Object],Smaller than 90° again.,[object Object],B,[object Object],B,[object Object],D,[object Object],D,[object Object],C,[object Object],C,[object Object]

A,[object Object],A,[object Object],B,[object Object],B,[object Object],D,[object Object],D,[object Object],C,[object Object],C,[object Object]

Acute Angle = Less than 90°,[object Object],A,[object Object],A,[object Object],B,[object Object],B,[object Object],D,[object Object],D,[object Object],C,[object Object],C,[object Object],Both of these angles are smaller than 90°,[object Object],Angles smaller than 90° are called acute,[object Object]

What about angles larger than 90°?,[object Object]

What about angles larger than 90°?,[object Object],Angles larger than 90° are called obtuse,[object Object],Notice all of the extra room?,[object Object]

If you extend these two lines segments will they ever touch?,[object Object],Right, if they did what might happen?,[object Object]

When two line segments on the same plane never touch they are called,[object Object],Parallel,[object Object],Lots of parallel lines,[object Object]

Do these lines intersect?,[object Object],But, if you extend them outward, would they intersect?,[object Object],Are these lines parallel?,[object Object],No, but actually they are. It’s just the angle of the picture.,[object Object]

Examples of Parallel Lines,[object Object]

Edm 1 lines and angles

Edm 1 lines and angles

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