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Name: ___________________________________ # ___________ Geometry: Period _____________ Ms. Pierre Date: ______________ A line that intersects two or more lines in a plane at a different point is called a ______________ Parallel Lines cut by a Transversal Today’s Objective SWBAT prove and use theorems about the angles formed by parallel lines and a transversal. Types of Angles Angle Definition Examples Interior Lies between the two lines. Alternate Interior On opposite sides of the transversal in between the two lines. Consecutive Interior On the same side of the transversal. Exterior Lies outside the two lines. Alternate Exterior On opposite sides of the transversal outside the two lines.

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Page 1: Today’s Objective SWBAT prove and use theorems about the

Name: ___________________________________ # ___________ Geometry: Period _____________ Ms. Pierre Date: ______________

A line that intersects two or more lines in a plane

at a different point is called a ______________

ParallelLinescutbyaTransversalToday’sObjectiveSWBAT prove and use theorems about the angles formed by parallel lines and a transversal.

Types of Angles Angle Definition Examples

Interior Lies between the two lines.

Alternate Interior On opposite sides of the transversal in between the two lines.

Consecutive Interior On the same side of the transversal.

Exterior Lies outside the two lines.

Alternate Exterior On opposite sides of the transversal outside the two lines.

Page 2: Today’s Objective SWBAT prove and use theorems about the

Example1:IdentifyingAnglePairs

Example2:FindingAngleMeasures

Find the angle measure.

State the theorem or postulate that is related to the measures of the angles in each pair. Then find the angle measures.

Suppose two lines in a plane are cut by a transversal. With enough information about the angles that are formed, you can decide whether the two lines are parallel.

IF THEN • Corresponding angles are ________________ • Alternate interior angles are ______________ • Alternate exterior angle are _______________ • Consecutive Interior angles are _________________ • The lines are __________________ to the same line,

The lines are parallel.

Page 3: Today’s Objective SWBAT prove and use theorems about the

IndependentPractice

In questions 1-4, assume 𝒍𝟏 ∥ 𝒍𝟐. Find the measure of ∠𝟏 and ∠𝟐.

1. 2.

3. 4.

Given 𝒎 ∥ 𝒏 and 𝒎∠𝟖 = 𝟏𝟏𝟗°, find the measures of all the numbered angles in the figure.

5. mÐ8 = 119° , mÐ1 = _____, mÐ2 = _____, mÐ3 = _____

mÐ4 = ____, mÐ5 = _____, mÐ6 = _____, mÐ7 = _____

GuidedPractice

In In questions 1 – 4, assume . Find the value of x. 1. 2. 3. 4.

Question 5, , find the measure of each numbered angle. 5.

Page 4: Today’s Objective SWBAT prove and use theorems about the

Homework In

Find the measures of all labeled angles in the diagram.

10.

Page 5: Today’s Objective SWBAT prove and use theorems about the

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