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Chapter 2: Q3. (page 69)
Solve each system of equations by the substitution method.
The solution of given system of equations is , .
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Copy and complete the proof of Theorem 2-5: If two lines form congruent adjacent angles then the lines are perpendicular.
Given:
Prove:
Proof:
Statements | Reasons |
1. , or | 1. _______ |
2. . | 2._______ |
3. or . | 3._______ |
4. | 4._______ |
5._______ | 5. Definition oflines |
Complete.
Copy everything shown and complete the proof of theorem 2-7 for the case where two angles are supplements of the same angle.
Given:鈭�1 and鈭�5 are supplementary;鈭�3 and鈭�5 are supplementary.
Prove:
Cut the Mobius band lengthwise down the middle. (Start at a point midway between the edges and cut around the band.) What is the result? Cut the band a second time down the middle. Write a sentence or two describing what happens.
a. In each exercise use the information given to conclude that two angles are congruent.
b. Name or state the definition or theorem that justifies your conclusion.
鈭�6 is complementary to 鈭�10; 鈭�7 is complementary to 鈭�10.
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