Question

https://app129.studyisland.com/pics/118629q3.png


Given: 1 and 2 are complementary,
3 and 4 are complementary,
1 4

Prove: 2 3

Proof:


Statements : 1. 1 and 2 are complements,
3 and 4 are complements,
1 4

2. m1 + m2 = 90°
m3 + m4 = 90°

3. m1 + m2 = m3 + m4

4. m1 = m4

5. m1 + m2 = m3 + m1

6. m2 = m3

7. 2 3

Reasons: 1. Given

2. Definition of complementary
angles

3. Transitive property of equality

5. Substitution property of
equality

6. Subtraction property of
equality
7. Definition of congruent angles

Answer 1

Which of the following reasons completes the proof?
Right angle congruence theorem
Definition of complementary angles
Transitive property of angle congruence
Definition of congruent angles