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9. Statement a: Right triangles have two acute angles. Obtuse triangles have two acute angles. Statement b: Conclusion: Law used:

9. Statement a: Right triangles have two acute angles. Obtuse triangles have two acute angles. Statement b: Conclusion: Law used:

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 30E: In Exercises 14-35, prove each statement. (AB)C=(AC)(BC)
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Answer 9 and 10 only
6. Statement a: If two lines intersect, then they have a common point. Statement b: Lines s and b are intersecting lines. Conclusion: Law used: 7. Statement a: Vertical angles are congruent. Statement b: 23 and 24 are vertical angles. Conclusion: Law used: 8. Statement a: All right angles are congruent. Statement b: Congruent angles have equal measurement. Conclusion: Law used: 9. Statement a: Right triangles have two acute angles. Obtuse triangles have two acute angles. Statement b: Conclusion: Law used: A quadrilateral is a polygon with four sides. A polygon with four sides has four vertices. 10. Statement a: Statement b: Conclusion: Law used:
Transcribed Image Text:6. Statement a: If two lines intersect, then they have a common point. Statement b: Lines s and b are intersecting lines. Conclusion: Law used: 7. Statement a: Vertical angles are congruent. Statement b: 23 and 24 are vertical angles. Conclusion: Law used: 8. Statement a: All right angles are congruent. Statement b: Congruent angles have equal measurement. Conclusion: Law used: 9. Statement a: Right triangles have two acute angles. Obtuse triangles have two acute angles. Statement b: Conclusion: Law used: A quadrilateral is a polygon with four sides. A polygon with four sides has four vertices. 10. Statement a: Statement b: Conclusion: Law used:
B. Write a conclusion based on the two true statements given using the Law of Detachment or the Law of Syllogism, and state which law is used. If a conclusion is not possible, write no conclusion.
Transcribed Image Text:B. Write a conclusion based on the two true statements given using the Law of Detachment or the Law of Syllogism, and state which law is used. If a conclusion is not possible, write no conclusion.
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