Give a reason for each step of the proof.
Given: <1 and <2 are complimentary
<1 is congruent to <3,
<2 is congruent to <4
Prove: <3 and <4 are complimentary
Statements: Reasons:
1. <1 and <2 are complimentary 1.Given
2. m<1 + m<2=90* 2.DEFINITION OF COMPLEMENTARY ANGLES
3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______
4. m<1=m<3, m<2=m<4 4.DEFINITION OF CONGRUENT ANGLES_
5. m<3 + m<2=90* 5. SUBSTITUTION PROPERTY (m<1 is replaced by m<3.)
6. m<3 +m<4=90* 6. DEFINITION OF COMPLEMENTARY ANGLES
7. <3 and <4 are complimentary 7. DEFINITION OF COMPLEMENTARY ANGLES