Deductive Reasoning 2-5 Classroom Exercises

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Presentation transcript:

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

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

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

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

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

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

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

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

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.

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.

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.

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.

C’est fini. Good day and good luck.