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9. Use the given plan to write a two-column proof of the Symmetric Property of Congruence. Given: AB = EF Prove: EF = AB F Plan: Use the definition of congruent segments to write AB = EF as a statement of equality. Then use the Symmetric Property of Equality to show that EF = AB. So EF = AB by the definition of congruent segments. %3D

9. Use the given plan to write a two-column proof of the Symmetric Property of Congruence. Given: AB = EF Prove: EF = AB F Plan: Use the definition of congruent segments to write AB = EF as a statement of equality. Then use the Symmetric Property of Equality to show that EF = AB. So EF = AB by the definition of congruent segments. %3D

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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Number 9 Please make and fill out two column proof
lon. Write a justification for each step. 2. 4y-1= 27 3.-중32 1. m-8= 13 Identify the property that justifies each statement. 4. MZXYZ == MZPQR, so mZPQR = mZXYZ. 6. 24 = LA, and ZA Z1. So 24 Z1. 5. AB = AB 7. k 7, and m = 7. So k = m. 2-6 Geometric Proof 8. Fill in the blanks to complete the two-column proof. Given: mz1 + mZ3 = 180° Prove: 21 4 Proof: Statements Reasons 1. m21 + mZ3 = 180° 1. a. 2. b. 2. Def. of supp. A 3. 23 and 24 are supplementary. 3. Lin. Pair Thm. 4. 23 = 23 4. С. 5. d. 5. = Supps. Thm. 9. Use the given plan to write a two-column proof of the Symmetric Property of Congruence. Given: AB = EF Prove: EF = AB A F Plan: Use the definition of congruent segments to write AB = EF as a statement of equality. Then use the Symmetric Property of Equality to show that EF = AB. So EF = AB by the definition of congruent segments. Flowchart and Paragraph Proofs the given two-column proof to write the following. Given: Z1 Z3 Prove: 22 = L4 roof: Statements Reasons 21 23 1. Given 21 2, 23 4 22 쓴 13 2. Vert. Thm. 3. Trans. Prop. of = 22 쓴 24 4. Trans. Prop. of = chart proof 11. a paragraph proof Re
Transcribed Image Text:lon. Write a justification for each step. 2. 4y-1= 27 3.-중32 1. m-8= 13 Identify the property that justifies each statement. 4. MZXYZ == MZPQR, so mZPQR = mZXYZ. 6. 24 = LA, and ZA Z1. So 24 Z1. 5. AB = AB 7. k 7, and m = 7. So k = m. 2-6 Geometric Proof 8. Fill in the blanks to complete the two-column proof. Given: mz1 + mZ3 = 180° Prove: 21 4 Proof: Statements Reasons 1. m21 + mZ3 = 180° 1. a. 2. b. 2. Def. of supp. A 3. 23 and 24 are supplementary. 3. Lin. Pair Thm. 4. 23 = 23 4. С. 5. d. 5. = Supps. Thm. 9. Use the given plan to write a two-column proof of the Symmetric Property of Congruence. Given: AB = EF Prove: EF = AB A F Plan: Use the definition of congruent segments to write AB = EF as a statement of equality. Then use the Symmetric Property of Equality to show that EF = AB. So EF = AB by the definition of congruent segments. Flowchart and Paragraph Proofs the given two-column proof to write the following. Given: Z1 Z3 Prove: 22 = L4 roof: Statements Reasons 21 23 1. Given 21 2, 23 4 22 쓴 13 2. Vert. Thm. 3. Trans. Prop. of = 22 쓴 24 4. Trans. Prop. of = chart proof 11. a paragraph proof Re
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