2-2 Notes for Converses of Angle Relationships and Practice

2-2 Notes: The Converses of Angle Relationships

If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.

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Converse of Corresponding Angles Theorem

If two lines and a transversal form same-side interior angles that are supplementary, then the lines are parallel.

Converse of Same-Side Interior Angles Postulate

If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel.

Converse of Alternate Interior Angles Theorem

If two lines and a transversal form alternate exterior angles that are congruent, then the lines are parallel.

Converse of Alternate Exterior Angles Theorem

If two lines are parallel to the same line, then they are parallel to each other.

Theorem (2-8)

If two lines in the same plane are perpendicular to the same line, then they are parallel to each other.

Theorem (2-9)

Fill in the Blanks

Corresponding angles created by a transversal and two parallel lines are...

Multiple Choice

Same-side interior angles are

• supplementary

• congruent

• complementary

• not a thing

Multiple Select

What other two types of angles are also congruent if the lines cut by a transversal are paralle?

• Alternate Interior Angles

• Same Side Exterior Angles

• Same-Side Interior Angles

• Alternate Exterior Angles

Draw

Draw the symbols that indicate the two lines cut by the transversal are parallel.

Draw

If the two lines cut by the transversal are parallel, mark all the congruent angles with the appropriate symbols.

Open Ended

In order for the two lines to be parallel, what could be an angle pair that is CONGRUENT that would prove their "parallel-ness"?

Open Ended

What angle pair must be SUPPLEMENTARY in order for the two lines cut by the transversal to be parallel?

Poll

*VOCAB PRACTICE* Choose how confident you are that you can define and use the following terms to solve problems: vertical angles, parallel lines, perpendicular lines, supplementary, complementary.

• I KNOW I know all those.

• I think I got those.

• I probably do not got all those.

• I basically feel like I have never seen those words before.

Draw

Circle the VERTICAL ANGLES

Draw

Circle the representation of PARALLEL.

Draw

Circle the representation of COMPLEMENTARY.

Draw

Circle the representation of SUPPLEMENTARY.

Draw

Circle the representation of ADJACENT.

Draw

Circle the representation of PERPENDICULAR.