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14. Alan tried to prove Postulate 10 as shown below. However, he did not have a valid proof. Explain why not. here shaild be If two parallel lines are cut by a transversal, then corresponding angles are congruent. Given: k || 1; transversal t cuts k and 1. Prove: Z1 = 22 2, Proof: Statements Reasons 1. k || 1 1. Given 2. If two parallel lines are cut by a transversal, then alt. int. are =. 2. 23 = L2 3. Z1 = Z3 3. Vert. 4 are =. 4. Z1 = 22 4. Transitive Prop.

14. Alan tried to prove Postulate 10 as shown below. However, he did not have a valid proof. Explain why not. here shaild be If two parallel lines are cut by a transversal, then corresponding angles are congruent. Given: k || 1; transversal t cuts k and 1. Prove: Z1 = 22 2, Proof: Statements Reasons 1. k || 1 1. Given 2. If two parallel lines are cut by a transversal, then alt. int. are =. 2. 23 = L2 3. Z1 = Z3 3. Vert. 4 are =. 4. Z1 = 22 4. Transitive Prop.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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14. Alan tried to prove Postulate 10 as shown below. However, he did not have a valid proof. Explain why not. here shaild be If two parallel lines are cut by a transversal, then corresponding angles are congruent. Given: k || 1; transversal t cuts k and 1. Prove: Z1 = 22 2, Proof: Statements Reasons 1. k || 1 1. Given 2. If two parallel lines are cut by a transversal, then alt. int. are =. 2. 23 = L2 3. Z1 = Z3 3. Vert. 4 are =. 4. Z1 = 22 4. Transitive Prop.
Transcribed Image Text:14. Alan tried to prove Postulate 10 as shown below. However, he did not have a valid proof. Explain why not. here shaild be If two parallel lines are cut by a transversal, then corresponding angles are congruent. Given: k || 1; transversal t cuts k and 1. Prove: Z1 = 22 2, Proof: Statements Reasons 1. k || 1 1. Given 2. If two parallel lines are cut by a transversal, then alt. int. are =. 2. 23 = L2 3. Z1 = Z3 3. Vert. 4 are =. 4. Z1 = 22 4. Transitive Prop.
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