Learning Target #3
Prove angles are congruent using angle theorems and pictures
1
Angle Congruence Properties
1. Reflexive
2. Transitive
3. Definition of Congruent Angles
2
Given: A Prove: A *3 steps
Statements
≅ B, B ≅ C
≅ C
C
A
Reasons
B
3
Given: m 3 = 40 , 1 Prove: m 1 = 40
≅ 2, 2 ≅ 3
1
2
Statements
1. m 3 = 40
2. __________
3. __________
4. 1 ≅ 3
5. __________
6. m 1 = 40
4
3
Reasons
1. _____________
2. Given
3. _____________
4. _____________
5. Def. of Congruent Angles
6. _____________ 4
Right Angle Congruence Theorem
Linear Pair Postulate
Vertical Angles Theorem
Definition of Supplementary Angles
Definition of Complementary Angles
5
Given: 5 Prove: 4 ≅ 6
≅ 7
*7 steps
Statements
1. _______________
2. 4 and 5 are vert. 3. _______________
4. 4 ≅ 5
5. 6 ≅ 7
6. 5 ≅ 7
7. 4 ≅ 7
4
5
6
7
Reasons
1. ______________
2. Def. of Vertical Angles
3. Def. of Vertical Angles
4. Vertical Angle Theorem
5. _______________
6. _______________
7. _______________
6
ASSIGNMENT
p. 113 #10, 12­17
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