• date post

06-Jan-2018
• Category

## Documents

• view

217
• download

3

Embed Size (px)

description

EXAMPLE 2 Prove a case of Congruent Supplements Theorem Prove that two angles supplementary to the same angle are congruent. GIVEN: 1 and 2 are supplements. 3 and 2 are supplements. PROVE: 3

### Transcript of Use right angle congruence

• EXAMPLE 1Use right angle congruence

1.psd

2.psd

• EXAMPLE 2Prove a case of Congruent Supplements Theorem

3.psd

4.psd

• EXAMPLE 2Prove a case of Congruent Supplements Theorem

5.psd

6.psd

• GUIDED PRACTICEfor Examples 1 and 21. How many steps do you save in the proof in Example 1 by using the Right Angles Congruence Theorem?2. Draw a diagram and write GIVEN and PROVE statements for a proof of each case of the Congruent Complements Theorem.

9.psd

10.psd

• GUIDED PRACTICEfor Examples 1 and 2

27.psd

28.psd

• GUIDED PRACTICEfor Examples 1 and 2

29.psd

30.psd

• EXAMPLE 3Prove the Vertical Angles Congruence Theorem

79.psd

80.psd

• EXAMPLE 3Prove the Vertical Angles Congruence Theorem

81.psd

82.psd

• GUIDED PRACTICEfor Example 3

83.psd

84.psd

• GUIDED PRACTICEfor Example 3

85.psd

86.psd

• GUIDED PRACTICEfor Example 36. Which previously proven theorem is used in Example 3 as a reason?

87.psd

88.psd

• EXAMPLE 4Standardized Test PracticeSOLUTION

89.psd

90.psd

• GUIDED PRACTICEfor Example 47. Solve for x.SOLUTION32 + (3x +1) = 180Original equation32 + 3x +1 = 180Distributive property of equality3x = 147Subtract 33 from each side x = 49Divide each side by 3Use the diagram in Example 4.

91.psd

92.psd

• GUIDED PRACTICEfor Example 4Substitute the value x = 49SOLUTIONUse the diagram in Example 4.

93.psd

94.psd