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lines are parallel. Use properties of parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Properties of parallel lines help you predict the paths of boats sailing into the wind, as in Example 4. Why you should learn it GOAL 2 GOAL 1 What you should learn 3.4 R E A L L I F E POSTULATE 16 ...
Introduction to proofs: Identifying theorems and postulates 1) Why is AOB COD ? 3) Angles 1 and 2 are congruent. Why are L and LQJ congruent? 5) If TR = RI, and AB and CD are trisectors, why are CR and BD congruent segments? 2) Why are LQ and PN congruent segments? 4) DV VF and EV VG Why is angle 1 congruent to angle 2? 6) KM and LN bisect each ...
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
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.
PARALLEL LINE PROOFS. Peel & Stick Activity! Objective: To practice completing parallel line proofs. Reasons included: Definition of Congruence, Definition of Angle Bisector, Definition of Supplementary Angles, Congruent Supplements Theorem, Angle Addition Postulate, Subtraction Property of Equality, Substitution Property, Transitive Property, ...
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.
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.
