If two sides of a triangle are congruent, then it is an isosceles triangle.
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1 1. What is the hypothesis of the conditional statement If two sides of a triangle are congruent, then it is an isosceles triangle. two sides of a triangle are congruent it is an isosceles triangle If two sides of a triangle are congruent then it is an isosceles triangle 2. What is the conclusion of the conditional statement If you act on your impulses, then you will get an equal and opposite reaction. you act on your impulses you will get an equal and opposite reaction If you act on your impulses you do not act on your impulses 3. What is the converse of the conditional statement If you are wise, then you work hard now. If you are not wise, you will not work hard now. If you work hard now, then you are wise. You will not work hard now, if you are not wise. You are wise if and only if you work hard now. 4. What is the inverse of the conditional statement If you are wise, then you work hard now. If you do not work hard now, then you are not wise. If you are not wise, you will not work hard now. You are wise if and only if you work hard now. If you are not wise, then you do not work hard now. 5. According to the transitive property of equality if
2 6. According to the addition property of equality the next step should be Subtract 2 from both sides of the equation Add 2 on both sides of the equation Multiply both sides of the equation by 2 Addition property does not apply in this equation 7. According to distributive property of equality the next step should be Distributive property does not apply in this equation Subtract 4 from both sides of the equation Multiply left side of the equation by 4 Multiply both sides of the equation by 4 8. Which property of equality is illustrated by the statement, if Distributive property of equality Symmetric property of equality Transitive property of equality Addition property of equality 9. Which property of equality is illustrated by the statement, if Reflexive property of equality Symmetric property of equality Transitive property of equality Substitution property of equality 10. Given the statements : ;. What is the inverse of the statement? If a triangle has two congruent sides, then the base angles are congruent. If the base angles are not congruent, then a triangle does not have two congruent sides. If a triangle does not have two congruent sides, then base angles are not congruent. A triangle has two congruent sides if and only if the base angles are congruent.
3 11. Given the statements : ;. What is the contrapositive of the statement? If the base angles are not congruent, then a triangle does not have two congruent sides. If a triangle does not have two congruent sides, then base angles are not congruent. A triangle has two congruent sides if and only if the base angles are congruent. If a triangle has two congruent sides, then the base angles are congruent. 12. Which symbolic statement represents the converse of a conditional statement? 13. Which symbolic statement represents the inverse of a conditional statement? 14. Which symbolic statement represents the contrapositve of a conditional statement? 15. Which symbolic statement represents the bi-conditional of a conditional statement? 16. Which bi-conditional statement is true. Two angles are congruent if and only if they are vertical angles. Two angles are supplementary if and only if sum of the angles 180 degrees. Points are collinear if and only if they are coplanar. Two angles are supplementary if and only if sum of the angles 90 degrees.
4 17. Which reason justifies the statement below? Addition property of equality Subtraction property of equality Transitive property of equality Substitution property of equality 18. Which reason justifies the statement below? Angle addition postulate Definition of angle bisector Definition of vertical angles Substitution property of equality 19. Which reason justifies the statement below? Angle addition postulate Definition of angle bisector Definition of vertical angles Substitution property of equality 20. Which reason justifies the statement below? Definition of complementary Definition of angle bisector Definition of vertical angles Definition of supplementary
5 Questions Select the correct statements that provide logical proof. 21. Which reason justifies the statement the proof? Statement Given Reason Complement theorem 21 Congruent Complements Theorem Definition of complementary Definition of angle bisector Definition of vertical angles Definition of supplementary 22. Which reason justifies the statement the proof?
6 Statement Given Reason Definition of complementary Complement theorem Definition of congruence 22 Definition of complementary Def. of Supplementary Def. of Complementary Addition property of equality Substitution property of equality Which reason justifies for each step in the proof? Statement Given 23 Reason Multiplication property of equality Subtraction property of equality Division property of equality Distributive property of equality e. Addition property of equality
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Geometry Honors - Chapter 2 Reasoning and Proof Section 2-1 Inductive Reasoning and Conjecture I can explore inductive and deductive reasoning. I can find counterexamples to disprove conjectures. I can
1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21.
FALL SEMESTER EXAM REVIEW (Chapters 1-6) CHAPTER 1 1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3 2. Find the length of PQ. a. 50.9 cm b. 46.3 cm c. 25.7 cm