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Cognitive and curricular issues related to proof and proving and Theme 4 Issues related to the use of examples in proof and proving Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall Elementary College Geometry Henry Africk,2004 Machine Proofs in Geometry Shang-Ching
If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel
Choose the word(s) that best completes the statements. 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 ...
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
Introduction to proofs: Identifying geometry theorems and postulates ANSWERS C congruent ? Explain using geometry concepts and theorems: 1) Why is the triangle isosceles? PR and PQ are radii of the circle. Therefore, they have the same length. A triangle with 2 sides of the same length is isosceles. 2) Why is an altitude? AB = AB (reflexive ...
Parallel Lines Proof Worksheet. Write a 2 column or flow proof on your own paper. 1. Given: l || m; ∠2 ≅ ∠4 Prove: ∠4 ≅ ∠3. Name ____________________________. 2. Given: l || m; ∠1 ≅ ∠4 Prove: ∠3 ≅ ∠4. 4.
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.