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Honors Geometry
Chapter 2 Review
Name_________________________
Date_____________Period________
1. In your own words, explain the Congruent Complements Theorem.
2. Why is the phrase “or to congruent angles” included in both the Congruent Complements Theorem and the
Congruent Supplements Theorem?
3. Define perpendicular. Then draw an example involving a square and its diagonals.
4. If the diagonals of a square bisect the angle from which they are drawn, which of your angles would be
congruent?
5. Pick an angle; describe the supplement of the complement of your angle.
6. m 1 = 7x - 10 and m 2 = 2x + 25. Find m3.
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7. A certain angle is 80 more than 4 times its complement. Find its supplement.
8. The measure of the supplement of an angle is 5 times the measure of the complement of the angle. Find the
measure of the complement.
9. Write a conditional statement. Determine its’ truth value. Write the converse, inverse, and
contrapositive of your conditional statement.
10. Give an example of when you used inductive reasoning within the last week outside of your
math class.
11. Give an example of when you, or someone you know, used deductive reasoning with in the
last week that was not in your math class.
12. What is the Law of Detachment? Invent your own conditional statement. Apply the Law of
Detachment to your statement. What can you conclude?
13. Given any true conditional statement, which other related statement must always be true?
14. Given the following, what statement can be correctly concluded?
p ~ q
rq
s r
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15. List all the properties of equality learned in this chapter. Provide an example of each using
only the letters of last name.
Complete the proofs from the following from the text book:
p. 103 #13
p.112 #18
p. 113 #21, 23