Name: _________________________________________ Date: _________
Geometry: Chapter 2 Review
Write the converse, inverse, and the contrapositive of each statement.
1. If two angles are vertical, then they are congruent.
2. If figures are similar, then their side lengths are proportional.
3. If a car is blue, then it has no doors.
Write a conditional for each statement and if possible a biconditional.
4. A quadrilateral has four sides.
5. The sum of the angles in a triangle is 180°.
Write the negation of each statement.
6. Two angles are congruent.
7. The angle is not right.
8. The figure is a triangle.
Identify the two statements that contradict each other.
9. I. ∆PQR is equilateral.
II. ∆PQR is a right triangle.
III. ∆PQR is isosceles.
10. I. Line r and m are skew.
II. Line r and m do not intersect.
III.
11. I. Each of the two items that Val bought costs more than $10.
II. Val spent $34 for the two items.
III. Neither of the two items that Val bought costs more than $15.
Choose the correct vocabulary term to complete each sentence.
12. The notation ~q→~p if the (inverse, contrapositve) of p→q.
13. To write a(n) (indirect proof, negation) , you start by assuming that the opposite of what you want to prove is
true.
14. In a conditional statement, the part that directly follows if is the _________________________.
15. If “a=b, and b=c, then a=c” is an example of the ____________________ property of congruency.
16. When a conditional and its converse are true, they may be written as a single true statement called a
_____________________________.
17. The _______________ of a conditional switches the hypothesis and the conclusion.
18. The part of a conditional statement that follows “then” is the ________.
19. A conditional has a ____________ value of true or false.
20. The _______________ of a statement has the opposite truth value.
21. A(n)___________________ is the negation and interchanging of the hypothesis and conclusion.
22. Reasoning logically from given statements to form a conclusion is _______________________.
23. A statement that you prove true is a ________________.
24. Statements that always have the same truth values are ____________________________.
Create a truth table for the following statements.
25.
26.
27.
28.
Find the value of each variable and all angle measures.
29.
30.
31.
32.
33.
34.