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Parallel Lines

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

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Parallel Lines

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  1. Parallel Lines

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

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

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

  5. Angles Between Parallel lines

  6. Angles Between Parallel lines

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

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

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

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

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

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

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

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

  15. Angles Between Parallel lines d a h e c g 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 180o .(Supplementary) Int. s

  16. Angles Between Parallel lines d a e c b g 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 180o .(Supplementary) Int. s

  17. Angles Between Parallel lines d h e c b g f 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 180o .(Supplementary) Int. s

  18. Angles Between Parallel lines Name in order, the angles that are alternate,interior and corresponding to the marked angle. e h f g d b 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 180o .(Supplementary) Int. s

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

  20. 80o Int. s 60o vert.opp. s 120o Int. s Angles Between Parallel lines Finding unknown angles  x =  y =  z = Find the unknown angles stating reasons, from the list below. z 100o y x 60o Vertically opposite angles are equal. vert.opp. s Corresponding angles are equal. corr. s Alternate angles are equal. alt. s Interior angles sum to 180o .(Supplementary) Int. s

  21. 105o corr. s 55o alt. s 125o Int. s Angles Between Parallel lines Finding unknown angles  x =  y =  z = 105o 55o Find the unknown angles stating reasons, from the list below. z y 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 180o .(Supplementary) Int. s

  22.  x = 85o Int. s  y = 120o Int. s Angles Between Parallel lines Finding unknown angles Unknown angles in quadrilaterals and other figures can be found using these properties. Find the unknown angles stating reasons, from the list below. y 95o x 60o Vertically opposite angles are equal. vert.opp. s Corresponding angles are equal. corr. s Alternate angles are equal. alt. s Interior angles sum to 180o .(Supplementary) Int. s

  23. 125o Int. s 55o Int. s 125o Int. s 55o 125o 125o Angles Between Parallel lines  x = Finding unknown angles  y = Unknown angles in quadrilaterals and other figures can be found using these properties.  z = y x Find the unknown angles stating reasons, from the list below. 55o z What does this tell you about parallelograms? Vertically opposite angles are equal. vert.opp. s Corresponding angles are equal. corr. s Alternate angles are equal. alt. s Interior angles sum to 180o .(Supplementary) Int. s

  24.  a =  b =  c = 58o vert.opp. s  d = 32o s in tri  e = 32o 52o 58o 64o 58o 64o isos tri s on line corr. s s at a point isos tri alt. s  f =  g =  h = Angles Between Parallel lines 58o b a c e g f d 70o Mixing it! h Vertically opposite angles are equal. vert.opp. s Find the unknown angles stating reasons, from the list below. There may be more than one reason. Corresponding angles are equal. corr. s Alternate angles are equal. alt. s Interior angles sum to 180o .(Supplementary) Int. s Angle sum of a triangle (180o) s in tri Angle on a line sum to(180o) s on line Base angles isosceles triangle equal. isos tri. Angles at a point sum to 360o s at point

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