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3.3 - Angles Formed By Transversals. Objective: #5 HW #4. Defining Transversals. A transversal is a line that intersects two or more coplanar lines at different points. In the diagram below, t is the transversal. Special Angles.
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3.3 - Angles Formed By Transversals Objective: #5 HW #4
Defining Transversals • A transversal is a line that intersects two or more coplanar lines at different points. • In the diagram below, t is the transversal.
Special Angles • The angles formed by two lines and a transversal have special names: • Corresponding Angles • Alternate Interior Angles • Same-Side Interior Angles • Alternate Exterior Angles
Corresponding Angles • Two angles are corresponding angles if they occupy corresponding positions.
Alternate Interior Angles • Two angles are alternate interior angles if they lie between the two lines on opposite sides of the transversal.
Same-Side Interior Angles • Two angles are same-side interior angles if they lie between the two lines on the same side of the transversal.
Alternate Exterior Angles • Two angles are alternate exterior angles if they lie outside of the two lines on opposite sides of the transversal.
Example 1 Describe the relationship between the angles. a. 1and 2 b. 3and 4 c. 5and 6 SOLUTION a. alternate interior angles b. alternate exterior angles c. same-side interior angles Describe Angles Formed by Transversals
Example 2 List all pairs of angles that fit the description. a. corresponding b. alternate exterior c. alternate interior d. same-side interior SOLUTION a. corresponding 1and5 2and6 3and7 4and8 Identify Angles Formed by Transversals
Example 2 b. alternate exterior: 1and8 3and6 c. alternate interior: 2and7 4and5 d. same-side interior: 2and5 4and7 Identify Angles Formed by Transversals
Checkpoint 1. 2 and7 alternate exterior angles ANSWER 2. 3 and5 same-side interior angles ANSWER 3. 1 and5 corresponding angles ANSWER Describe Angles Formed by Transversals Describe the relationship between the angles.
Checkpoint Describe the relationship between the angles. 4. 4 and5 alternate interior angles ANSWER 5. 4 and8 corresponding angles ANSWER 6. 4 and6 same-side interior angles ANSWER Describe Angles Formed by Transversals
Name That Angle Game! When a diagram is shown, write down which type of angle relationship is shown.