Download Geometry Chapter 2 Review RHS-Niven

Geometry
Chapter 2 Review
RHS-Niven
Name_________________________________ Date_____________ Period_____
Write the converse, inverse, and contrapositive of the given conditional. Then determine the truth value of each statement
including the conditional.
T or F
1. Conditional: If an angle has a measure of 60°, then it is an acute angle.
_______
Converse: __________________________________________________________________ _______
Inverse: ____________________________________________________________________ _______
Contrapositive: ______________________________________________________________ _______
2. Conditional: If two angles are congruent, then they are vertical angles.
______
Converse: __________________________________________________________________ _______
Inverse: ____________________________________________________________________ _______
Contrapositive: ______________________________________________________________ _______
Write a counterexample for each statement below:
3. If an angle is obtuse, then its measure is 120°.
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4. If a figure is a rectangle, then it is a square.
_______________________________________
5. The average of any two consecutive even numbers is an even number.
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6. Any four sided polygon is a square.
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7. If an animal is a panther, then it lives in the forest.
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Write each statement below as an “if-then” statement. Underline the hypothesis once, and the conclusion twice.
8. A triangle has 3 sides.
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9. Plastic objects are durable.
_________________________________________________________________________________
Geometry
Chapter 2 Review
Write a bi-conditional for the following given statements.
10. If a triangle has a 90° angle, then it is a right triangle.
________________________________________________________________________
If lines never intersect, then they are parallel.
_________________________________________________________________________
Write a counterexample for the following statements.
11. The average of any two consecutive even numbers is an even number.
________________________________________
12. Any four sided polygon is a square.
________________________________________
13. If an animal is a panther, then it lives in the forest.
________________________________
List the next two terms in the pattern for 11 - 15.
14. 113, 224, 335, 446, ______, ______
17. 5, 10, 15, 20, ______, ______
15. 4, 6, 9, 13, 18, ______, ______
18. 2, 6, 18, 54, ______, ______
16. 3, -9, 27, -81, ______, ______
Sketch the next figure in the pattern.
19.
20.
21.
Fill in the following blanks for the referenced properties of equality:
22. Reflexive Property of Equality:
mB  ______.
23. Transitive Property of Equality: If CD = GH and ______ = RS, then _____________.
24. Addition Property of Equality: If x = 3, then 14 + x = ______.
25. Symmetric Property of Equality: If
BC  RL , then _____________.
26. Substitution Property of Equality: If mA  45 , then 3mA = ______.
27. Multiplication Property of Equality: If mA  45 , then _____ mA  15.
RHS-Niven
Geometry
Chapter 2 Review
RHS-Niven
Complete the following proofs:
28. Given: 5(2 x  1)  9 x  2
Prove: x = 7
Proof:
Statements
5(2 x  1)  9 x  2
Reasons
Given
10 x  5  9 x  2
a. ______________________________________
10 x  9 x  7
b. ______________________________________
x7
c. ______________________________________
29. Given: 8x  5  2 x  15
Prove: x  1
Proof:
Statements
8x  5  2 x 15
10 x  5  15
Reasons
Given
a. ______________________________________
10 x  10
b. ______________________________________
x  1
c. ______________________________________
30. Given: AB  BC
Prove: AC  2 AB
Proof:
Statements
31.
A
B
C
AB  BC
AC  AB  BC
Reasons
Given
a. ____________________________________
AC  AB  AB
b. ____________________________________
AC  2 AB
c. ____________________________________
Geometry
Chapter 2 Review
RHS-Niven
Name the property that is being demonstrated.
32. If
and
33. ̅̅̅̅
then
̅̅̅̅
___________________________________
_____________________________________
34. If
35. If
, then
_________________________________
, then
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36.
Find the value of x.
37.
38.
37. ______
38. ______
39.
40.
39. ______
40. ______