Download Review for Quiz 2.1-2.2 on Conditionals

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.
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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
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 TAZ if and only if
2m  TAB =  TAZ
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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 _________.
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