1. Deductive Reasoning 2-5 Classroom Exercises
“The proof is in the pudding.”
“Indubitably.”
Le pompt de pompt le solve de crime!"
Je solve le crime. Pompt de pompt pompt."
Deductive Reasoning
2-5 Classroom Exercises

2. 1
2-5 Classroom Exercises
Complete the proof of Theorem 2.4: If two lines are perpendicular, then they form congruent adjacent angles. l 1 2
Given: 3 4 n
Prove
Statements
Reasons
Given:
Definition of perp.
Def. of congruent angles

3. 2 In the diagram, and . Name 8 right angles. Label diagram first. A EO C D G F B

4. 2 In the diagram, and . Name 8 right angles. Label diagram first. A EO C D G F B

5. 3 In the diagram, Name 8 right angles. Label diagram first. Z Vertical
Flat Y O P Q X

6. 40 50 40 50 130 4 In the diagram, and . Find the following angles. E D
Label diagram first. 50 40
Note any two adjacent angles are complementary. A B C 4 40 50 40 50
130

7. 5 In the diagram, and . Find the following angles. E 90 - x x D F
Label diagram first.
90 - x x
Note any two adjacent angles are complementary. A B C 5 x x
90 - x
90 - x

8. 5 In the diagram, and . Find the following angles. E x D F
Label diagram first. x
Note any two adjacent angles are complementary. A B C 5 x x
90 - x
90 + x
90 - x

9. Name the definition or state the theorem that justifies the statement about the diagram.6
If is a right angle,
then T 5 6 V
Definition of
perpendicular lines. 8 7 S 7
If , then
are rt. Angles.
Definition of
perpendicular lines.

10. Name the definition or state the theorem that justifies the statement about the diagram.8
If ,
then T 5 6 V
If 2 lines are perpendicular, then they form congruent adjacent angles. 8 7 S 9
If , then
Definition of
perpendicular lines.

11. Name the definition or state the theorem that justifies the statement about the diagram.8
If ,
then T 5 6 V
If 2 lines are perpendicular, then they form congruent adjacent angles. 8 7 S 9
If , then
Definition of
perpendicular lines.

12. Name the definition or state the theorem that justifies the statement about the diagram.10
If ,
then T 5 6 V
If 2 lines form congruent adjacent angles, then they are perpendicular. 8 7 S 11
If , then
Definition of
perpendicular lines.

13. C’est fini.
Good day and good luck.