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Parallel Lines

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Angles Between Parallel lines.

Parallel linesremain the samedistance apart.

TransversalDraw a pair of parallellines with a transversal andmeasure the 8 angles.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

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Angles Between Parallel lines

Parallel linesremain the samedistance apart.

TransversalDraw a pair of parallellines with a transversal andmeasure the 8 angles.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

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Angles Between Parallel lines

Parallel linesremain the samedistance apart.

TransversalDraw a pair of parallellines with a transversal andmeasure the 8 angles.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

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Angles Between Parallel lines

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Angles Between Parallel lines

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Angles Between Parallel lines

Parallel linesremain the samedistance apart.

Transversal

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

ad c

e

ghf

'ame an angle

correspondingto themar(ed angle.

*

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Angles Between Parallel lines

Parallel lines

remain the samedistance apart.

Transversal

a )c

e

ghf

'ame an angle

correspondingto themar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

*

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Angles Between Parallel lines

Parallel lines

remain the samedistance apart.

Transversal

a )c

h g

d

f

'ame an angle

correspondingto themar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

*

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Angles Between Parallel lines

Parallel lines

remain the samedistance apart.

Transversal

a )

e

h g

d

f

'ame an angle

correspondingto themar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

*

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Angles Between Parallel lines

Parallel lines

remain the samedistance apart.

Transversal

a )

e

h g

d

f

'ame an angle alternate

to the mar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s*

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Angles Between Parallel lines

Parallel lines

remain the samedistance apart.

Transversal

a )

e

h g

d c

'ame an angle alternate

to the mar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s*

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Angles Between Parallel lines

Parallel lines

remain the samedistance apart.

Transversal

a )

eh g

d

c

'ame an angle interior

to the mar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s*

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Angles Between Parallel lines

Parallel lines

remain the samedistance apart.

Transversal

a )

e

h g

d c

'ame an angle interior

to the mar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s*

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Angles Between Parallel lines

a

f

eh

g

d

c'ame an anglecorresponding to themar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

*

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Angles Between Parallel lines

h

f

e)

g

d

c

'ame an angle interiorto the mar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s*

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Angles Between Parallel lines

h

f

e

)

g

d

c

'ame in order* the

angles that arealternate*interiorandcorrespondingto themar(ed angle.

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

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Angles Between Parallel lines

a

fehg

d

c

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

'ame in order* the

angles that arealternate*interiorandcorrespondingto themar(ed angle.

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Angles Between Parallel lines

+

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

,inding un(nown angles

"##o ,ind the

un(nownangles statingreasons* fromthe list )elow.

y

-

#o

+ /y /

- /

80o

!nt.

s60o vert.opp. s

120o !nt. s

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Angles Between Parallel lines

+

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

,inding un(nown angles

"#0o

,ind the

un(nownangles statingreasons* fromthe list )elow.

y

-

+ /y /

- /

105o

corr.

s55o alt. s

125o !nt. s

00o

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Angles Between Parallel lines

+

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

,inding un(nown angles

10o ,ind the

un(nownangles statingreasons* fromthe list )elow.

y

+ /y /

85o

!nt.

s120o !nt. s

#o

2n(nownangles in

quadrilateralsand other

figures can )e

found usingthese

properties.

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Angles Between Parallel lines

+

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

,inding un(nown angles

,ind the

un(nownangles statingreasons* fromthe list )elow.

y

00o -

+ /

y /

- /

3hat does this tell you a)out parallelograms4

125o !nt. s

"50o

55o !nt. s

00o

125o !nt. s

"50o

2n(nownangles in

quadrilateralsand other

figures can )e

found usingthese

properties.

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6#o

Angles Between Parallel lines

a

Vertically oppositeangles are equal. vert.opp. s

orrespondingangles are equal. corr. s

Alternate angles are equal. alt. s

!nterior angles sum to "8#o .$%upplementary& !nt. s

,ind theun(nown

angles statingreasons* fromthe list )elow.There may )emore than onereason.

58o vert.opp. s

32o s in tri08o

32o alt. s)

dc

Angle sum of a triangle$"8#o& s in tri

Angle on a linesum to$"8#o& s on line

58o s on line

e 58o corr. s

52o s at a pointfg

h

Base angles isosceles triangleequal. isos tri.

64o isos tri

a /

) /

c /

d /

e /

f /

g /

h / 64o isos tri

Angles at a pointsum to 7#o s at point

i+ing it9