Parallel Lines Angles Between Parallel lines. Parallel lines remain the same distance apart. Transversal Draw a pair of parallel lines with a transversal.

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Presentation transcript:

Parallel Lines

Angles Between Parallel lines. Parallel lines remain the same distance apart. Transversal Draw a pair of parallel lines with a transversal and measure the 8 angles. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal Draw a pair of parallel lines with a transversal and measure the 8 angles. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal Draw a pair of parallel lines with a transversal and measure the 8 angles. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s

Angles Between Parallel lines

Parallel lines remain the same distance apart. Transversal Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s a d c e g h f Name an angle corresponding to the marked angle. *

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal a b c e g h f Name an angle corresponding to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal a b c h g d f Name an angle corresponding to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal a b e h g d f Name an angle corresponding to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal a b e h g d f Name an angle alternate to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal a b e h g d c Name an angle alternate to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal a b e h g d c Name an angle interior to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal a b e h g d c Name an angle interior to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines a f e h g d c Name an angle corresponding to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines a f e b g d c Name an angle alternate to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines h f e b g d c Name an angle interior to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s *

Angles Between Parallel lines h f e b g d c Name in order, the angles that are alternate, interior and corresponding to the marked angle. Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s

Angles Between Parallel lines a f e h g d c Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s Name in order, the angles that are alternate, interior and corresponding to the marked angle.

Angles Between Parallel lines x Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s Finding unknown angles 100 o Find the unknown angles stating reasons, from the list below. y z 60 o  x =  y =  z = 80 o Int.  s60 o vert.opp.  s120 o Int.  s

Angles Between Parallel lines x Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s Finding unknown angles 105 o Find the unknown angles stating reasons, from the list below. y z  x =  y =  z = 105 o corr.  s55 o alt.  s125 o Int.  s 55 o

Angles Between Parallel lines x Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s Finding unknown angles 95 o Find the unknown angles stating reasons, from the list below. y  x =  y = 85 o Int.  s120 o Int.  s 60 o Unknown angles in quadrilaterals and other figures can be found using these properties.

Angles Between Parallel lines x Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s Finding unknown angles Find the unknown angles stating reasons, from the list below. y 55 o z  x =  y =  z = What does this tell you about parallelograms? 125 o Int.  s 125 o 55 o Int.  s 55 o 125 o Int.  s 125 o Unknown angles in quadrilaterals and other figures can be found using these properties.

70 o Angles Between Parallel lines a Vertically opposite angles are equal.vert.opp.  s Corresponding angles are equal.corr.  s Alternate angles are equal.alt.  s Interior angles sum to 180 o.(Supplementary) Int.  s Find the unknown angles stating reasons, from the list below. There may be more than one reason. 58 o vert.opp.  s32 o  s in tri 58 o 32 o alt.  s b d c Angle sum of a triangle (180 o )  s in tri Angle on a line sum to (180 o )  s on line 58 o  s on line e 58 o corr.  s52 o  s at a point fg h Base angles isosceles triangle equal. isos tri. 64 o isos tri  a =  b =  c =  d =  e =  f =  g =  h = 64 o isos tri Angles at a point sum to 360 o  s at point Mixing it!