TODAY IN GEOMETRY…  Review: Identifying angles formed by a transversal  Learning Goal: 3.2-3.3 Use Angle Theorems and converses formed by parallel lines.

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Presentation transcript:

TODAY IN GEOMETRY…  Review: Identifying angles formed by a transversal  Learning Goal: Use Angle Theorems and converses formed by parallel lines and a transversal  Independent Practice  Ch.3 QUIZ – Friday!

CORRESPONDING ANGLES (CA) for PARALLEL LINES: IF lines are parallel THEN corresponding angles are CONGRUENT

ALTERNATE INTERIOR ANGLES (AIA) for PARALLEL LINES: IF lines are parallel THEN alternate interior angles are CONGRUENT.

ALTERNATE EXTERIOR ANGLES (AEA) for PARALLEL LINES: IF lines are parallel THEN alternate exterior angles are CONGRUENT

CONSECTUTIVE INTERIOR ANGLES (CIA) for PARALLEL LINES: IF lines are parallel THEN consecutive interior angles are SUPPLEMENTARY

EXAMPLE: Find the values for x and y. 135 ° xy =135 ° 45 °=

PRACTICE: Find x.

**Converse to Corresponding Angles Theorem

**Converse to Consecutive Interior Angles Theorem

EXAMPLE PROOF: Statement Reason 1. Given. 2. Alternate Interior Angles Converse

EXAMPLE PROOF: Statement Reason 1. Given. 2. Corresponding Angles Theorem

HOMEWORK #2: Pg. 157: 4-19, 22-24, 27-31, 33, 35, 36 Pg. 165: 3-15, 19-21, 23, 26, 27 If finished, work on other assignments: HW #1: Pg. 150: 11-15, 18-23, 24-32, 43-44

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