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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.
GOAL 1. Prove that two lines are parallel. re parallel. You can use the following postulate and theorems to p. GOAL 2 Use properties of lines are parallel. parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Why you should learn it. n Exa.
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
Theorem 6.1 : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Proof : We are given a triangle ABC in which a line parallel to side BC intersects other two sides A B and AC at D and E respectively (see Fig. 6.10). We need to prove that ...
GO DIGITAL. I can prove theorems about identifying parallel lines. EXPLORE IT Determining Whether Converses Are True. Math Practice. Construct Arguments. When the converse of one of the statements is true, what can you conclude about the inverse? inverse? Work with a partner. Write the converse of each conditional statement.
CHAPTER 6. LINES AND ANGLES. (A) Main Concepts and Results. Complementary angles, Supplementary angles, Adjacent angles, Linear pair, Vertically opposite angles. If a ray stands on a line, then the adjacent angles so formed are supplementary and its converse, If two lines intersect, then vertically opposite angles are equal,
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, ...
