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Conditionals Quiz Review Geometry Name ___________________ Date _______ Convert each statement to a conditional. 1. An opossum has a pouch. 2. A trapezoid is not a parallelogram. 3. The income tax deadline is April 15. Find the hypothesis and conclusion: 4. The grass is wet if it is raining. 5. x > 8 implies that x2 > 64 Find a counterexample. 6. Cricket is a game played with a ball and bat. 7. If a number is divisible by 3, then it is odd. 8. If a quadrilateral has four equal sides, then it is a rhombus. Marusiak Page 1 of 3 For each conditional: Write the converse, inverse, and contrapositive 9. If a person suffers from arachnophobia, he or she is afraid of spiders. Converse: ________________________________________________________ Inverse: ________________________________________________________ Contrapositive: ____________________________________________________ 10. If a figure is a triangle, then all its angles add up to 180o. Converse: ________________________________________________________ Inverse: ________________________________________________________ Contrapositive: ____________________________________________________ 11. If two angles’ measures add up to 90o, then they are complementary. Converse: ________________________________________________________ Inverse: ________________________________________________________ Contrapositive: ____________________________________________________ 12. Write the biconditional as a pair of conditional statements. a = b and c = d if and only if a + c = b + d 13. Write the biconditional as a pair of conditional statements. Ray AB bisects Marusiak TAZ if and only if 2m TAB = TAZ Page 2 of 3 14. Write as a biconditional. If x + 4 = 7 then x = 3 If x = 3 then x + 4 = 7 15. Write as a biconditional. If line k is a bisector of AC , then k intersects AC at its midpoint. If line k intersects AC at its midpoint, then k is a bisector of AC . Find the next two elements in each series. 16. 0, 7, 26, 63, 124,215, __________, _________ Fill in the blanks: 17. Perpendicular lines make _______________ angles. 18. If two lines are perpendicular, then the vertical angles must measure _________. Marusiak Page 3 of 3