Download Chp 2 Review

Geometry
Chapter 2 Review
1
Name: ___________________
1.
Given: FL = AT
Prove: FA = LT
Addition Property
Statements
Reasons
Reflexive Property
1) FA  FL  LA
1)_______________________
Substitution Property
2) LT  LA  AT
2)________________________
Given
3) FL  AT
3)________________________
Angle Addition Postulate
4) LA  LA
4)________________________
Segment Addition Postulate
5) FL  LA  LA  AT
5)_________________________
6) FA = LT
6)_________________________
Symmetric Property
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2.
Given: m4  m6  180
Prove: m5  m6
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5
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Subtraction Property
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L
Reflexive Property
Statements
Reasons
Substitution Property
1) m4  m5  180
1)________________________
Given
2) m4  m6  180
2)________________________
3) m4  m5  m4  m6 3)________________________
4) m4  m4
4)________________________
5) m5  m6
5)________________________
Angle Addition Postulate
Segment Addition Postulate
Definition of Complementary
Angles
Linear Pair Postulate
Geometry
Chapter 2 Review
Solve each equation. Justify each step.
3.
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Solve for the variables
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Geometry
Chapter 2 Review
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15. Write the if-then form, the converse, the inverse and the contrapositive of the following
statement. Then circle whether the statement is true or false.
Vertical angles are congruent
If-then: _____________________________________________________________ True False
Converse: ___________________________________________________________True False
Inverse: _____________________________________________________________True False
Contrapositive: ______________________________________________________ True False
16. Write the converse of the following statement. If both statements are true, rewrite them as a
bi-conditional statement.
If a ray is a bisects an angle, then the ray cuts the angle into two congruent angles.
Converse: _______________________________________________________________T or F
Biconditional:_________________________________________________________________
17. Use the Venn Diagram above to help you determine whether the following statements are
true or false. Provide a counterexample for questions you believe to be false. Explain those you
claim to be true.
a) If a quadrilateral is a rectangle, it is a parallelogram.
b) All squares are rhombuses.
c) All trapezoids are parallelograms.
Geometry
Chapter 2 Review
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18. Use the law of syllogism to write a valid conclusion
If you have a cell phone, then you text your friends. If you text your friends, then you will go to
the party.
Conclusion: _________________________________________________________________
19. What can you conclude from the following two statements?
If an angle measures less than 90 , then it is acute.
mB  63
Conclusion: _________________________________________________________________
20. Use the following statement: If you are at the skate park, then you are a skateboarder.
Label the Venn Diagram based on your conditional statement.
Using the diagram, write one conclusion, if any, that can be drawn
from the following statements:
a) Bob is at the skate park.___________________________
b) Juanita is not a skateboarder.__________________________
c) Sally is not at the skate park. ________________________
d) Billy is a skateboarder._________________________
21. If p represents “the sun is shining”, and q represents “people will dine outside”, write the following
in words:
q  p _____________________________________________________________________
a)
b)
p  q _____________________________________________________________________
c) Write in symbolic notation: If people dine outside, then the sun is not shining.
22. Let p represent “a figure has point symmetry” and let l represent “a figure has line
symmetry”. Translate the following into symbols.
a) A figure has both point and line symmetry
_____________
b) A figure as point or line symmetry.
_____________
c) A figure has point symmetry if and only if the figure has line symmetry.
_____________