Angles and Lines Final Review Part 1.

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Presentation transcript:

Angles and Lines Final Review Part 1

New Vocabulary Congruent Transversal Vertical Angles Adjacent Angles Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Consecutive Interior Angles

Congruent The same size

Transversal A line that crosses a set of parallel lines

Vertical Angles Vertical Angles are the angles opposite each other and share the same vertex vertical angles are equal

Corresponding Angles The angles in matching corners are called Corresponding Angles. Think about if you cut and placed

Alternate Interior Angles The pairs of angles on opposite sides of the transversal but inside the two lines are called Alternate Interior Angles. Alternate Interior angles are congruent

Alternate Interior Angles 3 6 5 4

Alternate Exterior Angles The pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles. These angles are congruent

Alternate Exterior Angles 2 8 1 7

Consecutive Interior Angles The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles. Their sum is 180°

Consecutive Interior Angles

Adjacent Angles Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. Angle ABC is adjacent to angle CBD Because: they have a common side (line CB) they have a common vertex (point B)

Adjacent Angles Adjacent Angles 1 and 2 3 and 4 5 and 6 7 and 8

Which is which? Vertical Corresponding Alternate Exterior Adjacent Alternate Interior Consecutive

Practice Vertical Corresponding Alternate Exterior Adjacent Alternate Interior Consecutive

Practice Vertical Corresponding Alternate Exterior Adjacent Alternate Interior Consecutive

Practice Vertical Corresponding Alternate Exterior Adjacent Alternate Interior Consecutive

What is the missing measure?

What is the missing measure?

What is the missing measure?

What is the missing measure?

What is the missing measure?

What is the missing measure? 5

What is the missing measure?

What is the missing measure?

What is the missing measure?

What is the missing measure?