Parallel Lines Angles Between Parallel lines Draw a

Parallel Lines

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

Angles Between Parallel lines Draw a pair of parallel lines with a transversal and measure the 8 angles. Transversal 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

Angles Between Parallel lines Draw a pair of parallel lines with a transversal and measure the 8 angles. Transversal 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 180 o. (Supplementary) Int. s

Angles Between Parallel lines

Angles Between Parallel lines

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

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

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

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

Angles Between Parallel lines Name an angle alternate to the marked angle. Transversal d e h g a b f 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 180 o. (Supplementary) Int. s

Angles Between Parallel lines Name an angle alternate to the marked angle. Transversal d a b c e h Parallel lines remain the same distance apart. 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 180 o. (Supplementary) Int. s

Angles Between Parallel lines Name an angle interior to the marked angle. Transversal a b c h * d g e 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 180 o. (Supplementary) Int. s

Angles Between Parallel lines Name an angle interior to the marked angle. Transversal d a b c e h * Parallel lines remain the same distance apart. 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 180 o. (Supplementary) Int. s

Angles Between Parallel lines d Name an angle corresponding to the marked angle. * 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 180 o. (Supplementary) Int. s

Angles Between Parallel lines d Name an angle alternate to the marked angle. * a c b 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 180 o. (Supplementary) Int. s

Angles Between Parallel lines d Name an angle interior to the marked angle. * c b 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 180 o. (Supplementary) Int. s

Angles Between Parallel lines Name in order, the angles that are alternate, interior and corresponding to the marked angle. h g e f d c b 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 Name in order, the angles that are alternate, interior and corresponding to the marked angle. c g h f d a e 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 Finding unknown angles z x= 80 o Int. s y= 60 o vert. opp. s z= 120 o Find the unknown angles stating reasons, from the list below. 100 o y Int. s x 60 o 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 Finding unknown angles 105 o z x x= 105 o y= 55 o alt. s z= 125 o Int. s 55 o corr. s Find the unknown angles stating reasons, from the list below. y 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 Finding unknown angles Unknown angles in quadrilaterals and other figures can be found using these properties. y x= 85 o Int. s y= 120 o Int. s Find the unknown angles stating reasons, from the list below. 95 o 60 o 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

Angles Between Parallel lines Finding unknown angles Unknown angles in quadrilaterals and other figures can be found using these properties. 125 o Int. s y= 55 o Int. s z= 125 o Int. s 55 o y x o 125 55 o x= 125 zo What does this tell you about parallelograms? Find the unknown angles stating reasons, from the list below. 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 58 o e f g h b a 70 o c d Mixing it! a= 58 o vert. opp. s b= 32 o s in tri c= 32 o alt. s d= 58 o s on line e= 58 o corr. s f = 52 o s at a point g= 64 o isos tri h = 64 o isos tri 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 Angle sum of a triangle (180 o) s in tri Angle on a line sum to (180 o) s on line Base angles isosceles triangle equal. isos tri. Angles at a point sum to 360 o s at point Find the unknown angles stating reasons, from the list below. There may be more than one reason.