Lines and Angles

Lines & Angles

Multiple Choice

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

• $$\angle4$$  and $$\angle8$$  
  

• $$\angle7$$  and $$\angle5$$  
  

• $$\angle1$$  and  $$\angle2$$  
  

• $$\angle6$$  and  $$\angle5$$  
  

Multiple Choice

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

• $$\angle3$$  and $$\angle8$$  
  

• $$\angle7$$  and $$\angle2$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Multiple Choice

$$\angle8$$  and  $$\angle5$$  are ___.  

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Exterior Angles
  
  

  (Same-side Exterior Angles)

• Corresponding Angles

• None of these

Multiple Choice

$$\angle3\$$  and  $$\angle2$$   are ___.  

• Alternate Interior Angles

• Alternate Exterior Angles

• 
  Consecutive Interior Angles

  
  
  

  (Same-side Interior Angles)

• Corresponding Angles

• None of these

Multiple Choice

Identify the correct statement.

• ∠J=105°
• ∠J=75°
• ∠J=15°
• ∠J=90°

Multiple Choice

Identify the correct statement.

• ∠B=82°
• ∠B=98°
• ∠B=180°
• ∠B=8°

Multiple Choice

What is the value of x?

• 70

• 28

• 140

• 40

Multiple Choice

What is the measure of ∠2?

• 38

• 58

• 71

• 142

Parallel Lines and Transversals

Angle Relations

• Please copy the diagram on the right.

• You will be given a name of an ANGLE RELATIONSHIP.

• Consider the meaning of the name of the ANGLE RELATIONSHIP.

• Try to determine what angles fit the ANGLE RELATIONSHIP.

Open Ended

What do you think "Interior Angles" might mean?

Multiple Choice

Which angles do you think are "Interior Angles"?

• 
  

  $$\angle1,\ \angle2,\ \angle3\ and\ \angle4$$
  

• $$\angle5,\ \angle6,\ \angle7\ and\ \angle8$$

• $$\angle1,\ \angle3,\ \angle6\ and\ \angle8$$

• $$\angle2,\ \angle4,\ \angle5\ and\ \angle7$$

Interior Angles

Open Ended

What do you think EXTERIOR ANGLES might mean?

Multiple Choice

Which angles do you think are "Exterior Angles"?

• 
  

  $$\angle1,\ \angle2,\ \angle3\ and\ \angle4$$
  

• $$\angle5,\ \angle6,\ \angle7\ and\ \angle8$$

• $$\angle1,\ \angle3,\ \angle6\ and\ \angle8$$

• $$\angle2,\ \angle4,\ \angle5\ and\ \angle7$$

Exterior Angles

Open Ended

Now that we have discussed Interior Angles, what might it mean to be ALTERNATE INTERIOR ANGLES?

Multiple Select

Which angles do you think are "Alternate Interior Angles"?

• 
  

  $$\angle2\ and\ \angle7$$
  

• $$\angle4\ and\ \angle5$$

• $$\angle2\ and\ \angle4$$

• $$\angle5\ and\ \angle7$$

• $$\angle1\ and\ \angle8$$  

Alternate Interior Angles

Open Ended

Now that we have discussed Interior Angles (and Alternate Interior Angles), what might it mean to be CONSECUTIVE INTERIOR ANGLES?

Multiple Select

Which angles do you think are "Consecutive Interior Angles"?

• 
  

  $$\angle2\ and\ \angle5$$
  

• $$\angle4\ and\ \angle7$$

• $$\angle2\ and\ \angle4$$

• $$\angle5\ and\ \angle7$$

• $$\angle1\ and\ \angle6$$  

Consecutive Interior Angles

Open Ended

We have discussed Exterior Angles, what might it mean to be ALTERNATE EXTERIOR ANGLES?

Multiple Select

Which angles do you think are "Alternate Exterior Angles"?

• 
  

  $$\angle1\ and\ \angle8$$
  

• $$\angle3\ and\ \angle6$$

• $$\angle1\ and\ \angle6$$

• $$\angle3\ and\ \angle8$$

• $$\angle6\ and\ \angle8$$  

Alternate Exterior Angles

Open Ended

"Consecutive Exterior Angles" DO NOT exist!

Why do you thing that is?

Open Ended

What might it mean to be CORRESPONDING ANGLES?

Multiple Select

Which angles do you think are "Corresponding Angles"?  (Check all that apply.)

• 
  

  $$\angle1\ and\ \angle5$$
  

• $$\angle2\ and\ \angle6$$

• $$\angle3\ and\ \angle7$$

• $$\angle4\ and\ \angle8$$

• $$\angle3\ and\ \angle8$$  

Corresponding Angles

Unit 1 Day 4: Angle Pairs

Objective: Students will identify and use special pairs of angles

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

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.

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

Transversals

and Angle Pairs

What is a transversal?

It is a line that intersects at least two other lines.

Multiple Choice

What is a transversal?

• A line that intersects at least two other lines.

• A line that intersects another line.

• A line parallel to another line.

• A line that is skew to another line.

This is an example of an transversal intersecting two lines.

Multiple Select

Which image(s) represent(s) the definition of a transversal?

Corresponding Angles

Corresponding angles are angle that are in the same location but in different intersections.

Corresponding Angles

Multiple Select

Which images represent corresponding angles?

Alternate Interior Angles

Alternate Exterior Angles

Multiple Select

Select the images that represent alternate interior angles.

Multiple Select

Select the images that show alternate exterior angles.

Consecutive Interior Angles

Multiple Select

Zoom in on the picture. What angle are consecutive interior angles?

• $$\angle1\ and\ \angle4$$

• $$\angle3\ and\ \angle5$$

• $$\angle7\ and\ \angle8$$

• $$\angle4\ and\ \angle6$$