U7L2 Congruent Angle Relationships

Objective

Students will be able to identify congruent angles when presented with parallel lines cut by a transversal and use that information to solve for missing angle values.

Multiple Choice

WARM UP: Find the missing angle.

• 47
• 37
• 57
• 137

Transversals

• A transversal is a line that intersects at least two other lines

• The two other lines, l₁ and l₂ in the diagram, could be parallel, but do not have to be

Angle Relationships

When lines are intersected by a transversal, multiple angles are created.

Corresponding Angles

Vertical Angles

• angles opposite each other when two lines cross

• share the same vertex

Use your highlighter to identify 2 pairs of vertical angles on your notes page.

Multiple Choice

What angle pair is pictured?

• Alternate Interior Angles
• Supplementary Angles
• Vertical Angles
• Corresponding Angles

Multiple Choice

What angle corresponds to $$\angle4$$ ?

• $$\angle4$$

• $$\angle5$$

• $$\angle3$$

• $$\angle2$$

Multiple Choice

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

• $$\angle1$$  

• $$\angle5$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle9$$  

Multiple Choice

What is the measure of angle y?

• 76

• 104

Multiple Choice

What is the measure of the missing angle

• 47

• 133

Multiple Choice

Are these vertical angles?

• yes

• no

Alternate Interior Angle

Alternate Exterior Angle

Multiple Choice

What angle is the same side interior angle to angle 4?

• angle 3

• angle 5

• angle 6

• angle 8

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

What is the relationship of the Angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• vertical 

Multiple Choice

What type of angle pair is ∠1 and ∠3?

• alternate interior angles
•  supplementary angles
• corresponding angles
• vertical angles 

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Synthesis:

Congruent angles have equal measure. It is denoted by the symbol ≌ so if we want to represent congruent angles we would rewrite it as ∠A ≅ ∠X

Categorize

Options (8)

COOL DOWN: Organize these options into the right categories

Corresponding Angles

Vertical Angles

Alternate Interior Angles

Alternate Exterior Angles