Vertical Angles and Linear Pairs

Unit 1 Day 4: Angle Pairs

Objective: Students will identify and use special pairs of angles

Intersecting lines

Lines that cross or will cross if they are extended.

Multiple Choice

What do we call lines that cross?

• Parallel

• Perpendicular

• Intersecting

Parallel Lines

Parallel lines will never intersect

Multiple Choice

What do we call lines that will never intersect?

• Parallel

• Perpendicular

• Intersecting

Perpendicular lines

Lines that intersect and create right angles at the point of intersection.

Multiple Choice

What do we call lines that intersect and form 90 degree angles?

• Parallel

• Perpendicular

• Intersecting

Multiple Choice

Are these perpendicular lines?

• No

• Yes

Multiple Select

I know these are perpendicular lines because. They form a ___ where they cross.

• right angle

• 90 degree angle

• acute angle

• obtuse angle

Adjacent Angles

• Two angles that lie in the same plane and have a common vertex and a common side but no common interior points

• Two angles that are next to each other

Multiple Select

Which for the following adjacent angles? (Check ALL that apply)

• $$\angle UEN$$  and $$\angle SEU$$

• $$\angle UEN$$  and  $$\angle NET$$  

• $$\angle NEU$$  and  $$\angle NET$$  

• $$\angle UES$$  and  $$\angle TEN$$  

Linear Pair

• A pair of adjacent angles with noncommon sides that are opposite rays

• Notice that the first 4 letters of linear spell line, so a linear pair forms a line.

• Angles that form a linear pair are supplementary.

Multiple Choice

Find the value of x in the diagram so that the angles form a linear pair

• 118

• 62

• 72

• 68

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

Which angle is a linear pair with $$\angle1$$  ?

• $$\angle2$$  

• $$\angle3$$  

• $$\angle4$$  

• $$\angle5$$  

• $$\angle6$$  

Vertical Angles

Multiple Choice

Which angle is a vertical angle to with $$\angle7$$  ?

• $$\angle1$$  

• $$\angle5$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle9$$  

Multiple Choice

Find the missing angle.  Find x.

• 20^o
• 70^o
• 160^o
• 180^o

Multiple Choice

Which angles are vertical angles?

• $$\angle8\ \ and\ \angle7$$

• $$\angle8\ and\ \angle6$$

• $$\angle8\ and\ \angle5$$

Complementary Angles

Supplementary Angles

Multiple Choice

What type of angles are these?

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Multiple Choice

What angle pair is pictured?

• Alternate Interior Angles

• Supplementary Angles

• Vertical Angles

• Corresponding Angles

Multiple Choice

What type of angles are shown?

• supplementary

• complementary

• vertical

• adjacent

Multiple Choice

What type of angles are shown?

• supplementary

• complementary

• vertical

• adjacent