Download 2.4 - Congruent Complementary and Supplementary.notebook

2.4 ­ Congruent Complementary and Supplementary.notebook
November 07, 2016
Bellringer ­ Friday Nov 4th
Sep 20­7:31 AM
Nov 4­7:38 AM
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2.4 ­ Congruent Complementary and Supplementary.notebook
November 07, 2016
Nov 4­7:38 AM
Nov 4­7:38 AM
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2.4 ­ Congruent Complementary and Supplementary.notebook
November 07, 2016
Nov 4­8:07 AM
Do this activity:step by step in your notes
a. Draw an acute angle, label this angle CAT and give its measure (you can take guestimate).
b. Draw an angle supplementary to the original angle, name it angle DOG and give its measure.
c. Draw an angle congruent to your original angle, name it angle PIG and give its measure.
d. What do you know about angle PIG's supplement?
Nov 4­2:00 PM
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2.4 ­ Congruent Complementary and Supplementary.notebook
November 07, 2016
2.4 ­ Comp. and Supp. Angle Theorems
Thm: If two angles are comp to the same angle, then they are congruent.
Ex:
Conclusion?
Sep 29­9:06 AM
Thm: If two angles are supp to the same angle, then they are congruent.
Ex:
Conclusion?
Sep 29­9:06 AM
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2.4 ­ Congruent Complementary and Supplementary.notebook
November 07, 2016
2.4 ­ Comp. and Supp. Angle Theorems
Thm: If two angles are supp to congruent angles, then they are congruent.
Sep 29­9:06 AM
2.4 ­ Comp. and Supp. Angle Theorems (4)
If 2 angles are comp. to the same angle, then they are congruent.
If 2 angles are supp. to the same angle, then they are congruent. If 2 angles are comp. to the congruent angles, then they are congruent.
If 2 angles are supp. to the congruent angles, then they are congruent. Sep 29­9:06 AM
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2.4 ­ Congruent Complementary and Supplementary.notebook
B
Example Proof #1
Given: November 07, 2016
C
A
1 2
3
Prove: D
E
Reasons
Statements
1.)
1.) Given
2.)
2.) Given
3.)
3.)
4.)
4.)
5.)
5.)
6.)
6.)
7.)
7.)
Sep 29­9:06 AM
Example Proof #2
Given: Prove: C
A
1 2
B
3 4
D
E
Sep 29­9:06 AM
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2.4 ­ Congruent Complementary and Supplementary.notebook
November 07, 2016
C
Example Proof #2
Given: Prove: A
Statements
1 2
B
3 4
D
E
Reasons 1.) Given
1.)
2.)
supp. 2.) If two angles form a straight angle,
then they are supplementary.
3.)
supp. 3.) If two angles form a straight angle,
then they are supplementary.
4.) If two angles are supplementary to congruent angles, then they are congruent. 4.)
Sep 29­9:06 AM
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