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Essential Question. For which of the theorems involving parallel lines and transversals is the converse true? Exploring Converses. Work with a partner. Write the converse of each conditional statement. Draw a diagram to represent the converse. Determine whether the converse is true. Justify your conclusion.
- Proofs with Parallel Lines
3.3 Proofs with Parallel Lines EXPLORE IT Work with a...
- Proofs with Parallel Lines
Independent Practice: PROOFS OF PARALLEL LINES NAME: DATE: PERIOD: Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 167 For # 1-3, given a ‖ b, state the postulate or theorem that justifies each conclusion. 1. 1 is supplementary to 8 because given _____ 2. 4 5 2 7 because
If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel
1. If two lines are cut by a transversal so that alternate interior angles are (congruent, supplementary, complementary), then the lines are parallel. 2. If two lines are cut by a transversal so that same-side interior angles are (congruent, supplementary, complementary), then the lines are parallel. 3. If two lines are cut by a transversal so ...
3.3 Proofs with Parallel Lines EXPLORE IT Work with a partner. Write the converse of each conditional statement. Determine whether the converse is true. Justify your conclusion. a. Corresponding Angles Theorem If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 1 4 2 3 6 8 7 5 b. Alternate ...
REASONS: If corresponding angles are congruent, then lines are parallel. If alternate interior angles are congruent, then lines are parallel. If alternate exterior angles are congruent, then lines are parallel. If same side interior angles are supplementary, then lines are parallel.
Using Parallel Lines Cut by Transversals: Theorems and Converses Example: Given: 111m and r Il s Prove: 1 9 11 9 11 10 12 9 11 10 12 13 14 15 16 13 14 15 16 13 14 15 16 Reasons 1) Given 2) If parallel lines cut by transversal, then coresponding angles congruent 3) Vertical angles are congruent 4) Transitive property 5) Given 6) Coresponding Angles
