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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.
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.
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.
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 ...
Geometry Proofs Reasons 1) Given 2) Definition of isosceles (2 congruent sides) 3) Given 4) If congruent sides (in triangle), then congruent angles.. (or, base angles of isosceles triangle are congruent) 1) 2) 3) 4) Statements OIC is an isosceles triangle with base OC 10 = SO = CL Prove: Given: Prove: ISL is an isosceles triangle AD = BC
Question 1: Are the lines AB and CD parallel? Explain your answer. Question 2: Find the missing angle. Give reasons for your answer. Question 3: Find x. Question 4: Find x. Question 5: Matilda is proving that the angles in a triangle add up to 180°. She has started with this diagram. Complete her proof. Q Answers. Click here. Scan here.
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.
