Parallel Lines

Parallel Lines

RECAP of Lesson 1:

• Complementary angles - add to 90 degrees

• Supplementary angles - add to 180 degrees

• Revolution angles - add to 360 degrees

• Vertically opposite angles are equal.

Multiple Choice

Complementary angles add up to equal what?

• 125 degrees

• 90 degrees

• 360 degrees

• 180 degrees

Multiple Choice

Supplementary angles add up to equal what?

• 180 degrees

• 130 degrees

• 75 degrees

• 90 degrees

Multiple Choice

What is the complementary angle of 63 degrees?

• 27 degrees

• 110 degrees

• 90 degrees

• 165 degrees

Multiple Choice

What is the supplementary angle for 75 degrees?

• 45 degrees

• 15 degrees

• It does not have a supplementary angle.

• 105 degrees

Multiple Choice

What is the value of x?

• 107 degrees

• 30 degrees

• 17 degrees

• 75 degrees

Multiple Choice

What is the value of x?

• 123 degrees

• It does not have a supplementary angle

• 52 degrees

• 62 degrees

Multiple Choice

Work out the size of the missing angle

• 90

• 100

• 170

• 270

Multiple Choice

Look at the diagram. What is the value of $$\angle b$$  ?

• $$123\degree$$  

• $$58\degree$$  

• $$132\degree$$  

• $$68\degree$$  

Multiple Choice

What is the value of $$\angle e$$  ?

• $$159\degree$$  

• $$31\degree$$  

• $$21\degree$$  

• $$59\degree$$  

Parallel Lines

• Are lines that are in the same direction.

• The lines never touch each other.

• They are marked with arrows.

Transversal

• A transversal is a straight line that passes through a pair of parallel lines.

• It makes EIGHT angles with the parallel lines.

Relationships Between Angles and Parallel Lines

• Corresponding Angles

• Alternate Angles

• Co-interior Angles

Corresponding Angles

• Corresponding angles are EQUAL.

• Look for an F shape in your parallel lines.

Multiple Select

What is true about CORRESPONDING ANGLES on parallel lines?

• Corresponding angles fit inside an F shape.

• Corresponding angles are equal in size.

• Corresponding angles add to 180 degrees.

Multiple Choice

What angle corresponds to  $$\angle1$$  ?

• $$\angle4$$  

• $$\angle$$  

• $$\angle$$  

• $$\angle2$$  

Multiple Choice

What angle corresponds to  $$\angle6$$  ?

• $$\angle4$$  

• $$\angle$$  

• $$\angle$$  

• $$\angle7$$  

Multiple Choice

What angle corresponds to  $$\angle7$$  ?

• $$\angle4$$  

• $$\angle$$  

• $$\angle$$  

• $$\angle7$$  

Multiple Choice

What is the size of angle 4 if  $$\angle3=110\degree\text{}$$  ?
Note that the two angles are CORRESPONDING.

• 70 degrees

• 110 degrees

• 20 degrees

• 120 degrees

Alternate Angles

• Alternate angles are EQUAL.

• Look for an Z shape in your parallel lines.

Multiple Select

What is true about ALTERNATE ANGLES on parallel lines?

• Alternate angles fit inside an Z shape.

• Alternate angles are equal in size.

• Alternate angles add to 180 degrees.

Multiple Choice

Angle 3 and Angle 6 are examples of which type of angle pair?

• Hint: trace the arms of the angle and see what letter you get:

  Z = alternate

  F = corresponding

• Alternate angles

• Co-interior angles

• Corresponding angles

Multiple Choice

Which angle is alternate to angle 4?

• Angle 4

• Angle 5

• Angle 6

• Angle 3

Multiple Choice

Angle 4 is measured to be 45 degrees. What is the measure of angle 5 if the two angles are ALTERNATE?

• 45 degrees

• 135 degrees

• 180 degrees

• Hint: Alternate angles are equal.

Co-interior angles

• Co-interior angles are SUPPLEMENTARY - this means they add to 180 degrees.

• Look for an C shape in your parallel lines.

118+62=180

Multiple Select

What is true about CO-INTERIOR ANGLES on parallel lines?

• Co-interior angles fit inside a C shape.

• Co-interior angles are equal in size.

• Co-interior angles add to 180 degrees.

Multiple Choice

Identify each pair of angles.

• Corresponding

• Alternate

• Co interior

• Vertically opposite

Multiple Choice

Find the angle labelled w. Hint, the angles sit in a C shape, so they are co-interior, and add to 180 degrees.

To work out the answer for 'w'. Do 180 - 108 =

• 72

• 92

• 108

• 128

Multiple Choice

Find the angle labelled e.

• 37

• 143

• 163

• 57

SUMMARY:

Corresponding angles are EQUAL

Alternate angles are EQUAL

Co-interior angles add to 180 degrees.