Extra Practice for 2.1/2.2 A) Conditional Statement: If x=4, then x is an even number. 1) What is the Hypothesis? _______________ 2) What is the Conclusion? _______________________ 3) State the Converse: ______________________________________________ 4) Is the converse True or False? ________________ 5) If it is true write a biconditional. If it is false give a counterexample. _______________________________________________ B) Conditional Statement: If angle is 180 , then it is a straight angle. 1) What is the Hypothesis? _______________ 2) What is the Conclusion? _______________________ 3) State the Converse: _____________________________________________ 4) Is the converse True or False? ________________ 5) If it is true write a biconditional. If it is false give a counterexample. _______________________________________________ C) Given: 78 = 2x + 8 + 5x Prove: x = 10 D) Given: FL = AT Prove: FA =LT Proof: Statements 1) ______ 2) LA = LA 3) FL + LA = AT + LA 4) FL + LA = FA; LA + AT = LT 5) ______ F L A T Reasons 1) Given 2) _____________ 3) ____________ 4) _____________ 5) Substitution K
E) Given: m∠4 + m∠6 =180 4
Prove: m∠5 = m∠6 5 6
J L Reasons 1) __________ 2) Angle Add. Post. 3) Substitution 4) ________________ 5) __________________ Proof: Statements 1)
2)
3)
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5)
m∠4 + m∠6 = 180 m∠4 + m∠5 = 180 ____________________ m∠4= m∠4 ___________