angles and parallel lines a° b° corresponding angles for parallel lines are equal m n t m and n...

5
Angles and parallel lines Corresponding angles for parallel lines are equal Corresponding angles for parallel lines are equal m n t n are parallel lines, t is a Transversal A transversal is a line that cuts other lines For one set of parallel lines and one transversal there are four sets of corresponding angles.

Upload: teresa-watson

Post on 24-Dec-2015

220 views

Category:

Documents


7 download

TRANSCRIPT

Page 1: Angles and parallel lines a° b° Corresponding angles for parallel lines are equal m n t m and n are parallel lines, t is a Transversal A transversal is

Angles and parallel lines

Corresponding angles for parallel lines are equal

Corresponding angles for parallel lines are equal

m

n

t

m and n are parallel lines, t is a Transversal

A transversal is a line that cuts other lines

For one set of parallel lines and one transversal there are four sets of corresponding angles.

Page 2: Angles and parallel lines a° b° Corresponding angles for parallel lines are equal m n t m and n are parallel lines, t is a Transversal A transversal is

Angles and parallel lines

Corresponding angles for parallel lines are equal.

m

n

t

m and n are parallel lines, t is a Transversal

A transversal is a line that cuts other lines

65°

G° = 65°,ReasonCorresponding angles, parallel lines are equal

See Alpha text book for further notes Page 266 Ex 18.4 Copy diagrams for each of the questions 1 to 6 and complete.Please use a ruler and pencil.Mark all work from answers.Ex 18.5 Copy diagrams and complete numbers 1, 3 , 5, 7, 9 & 10

Note the position of the named angles. Can you see why they are the same size?

Draw a set of parallel linesAdd a transversalMeasure an angleMeasure the corresponding angle.Are the corresponding angles equal?

Page 3: Angles and parallel lines a° b° Corresponding angles for parallel lines are equal m n t m and n are parallel lines, t is a Transversal A transversal is

Angles and parallel lines

Alternate angles for parallel lines are equal

m

n

t

m and n are parallel lines, t is a Transversal

A transversal is a line that cuts other lines

For one set of parallel lines and one transversal there are two sets of Alternate angles.

Page 4: Angles and parallel lines a° b° Corresponding angles for parallel lines are equal m n t m and n are parallel lines, t is a Transversal A transversal is

Angles and parallel lines

a°b°

Alternate angles for parallel lines are equal.

m

n

t

m and n are parallel lines, t is a Transversal

A transversal is a line that cuts other lines

125°

G° = 125°,ReasonAlternate angles, parallel lines are equal

See Alpha text book for further notes Page 264 Ex 18.2 Copy diagrams for each of the questions 1 to 8 and complete.Please use a ruler and pencil.Mark all work from answers.Ex 18.3 Copy diagrams and complete numbers 1, 3 , 5, 7, 9 & 11

Note the position of the named angles. Can you see why they are the same size?

Draw a set of parallel linesAdd a transversalMeasure an angleMeasure the Alternate angle.Are the Alternate angles equal?

Page 5: Angles and parallel lines a° b° Corresponding angles for parallel lines are equal m n t m and n are parallel lines, t is a Transversal A transversal is

Angles and parallel lines

b°b°a°

Co-Interior angles for parallel lines are supplementary, a + b =180°

m

n

t

m and n are parallel lines, t is a Transversal

A transversal is a line that cuts other lines

125°

K° = 65°,ReasonCo-interior angles, parallel lines are supplentaryl

See Alpha text book for further notes Page 269 Ex 18.6 Copy diagrams for each of the questions 1 to 10 and complete.Please use a ruler and pencil.

Note the position of the named angles.

Draw a set of parallel linesAdd a transversalMeasure two co-interior anglesAre they supplementary?

Extension work: Mark all work from answers.Ex 18.7 Copy diagrams and complete numbers 1 to 21 complete for Homework.