Question

I need help with proofs. :)
(Drawing the pic now)

Answer 1

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.______________
3. <1 is congruent to <3, <2 is congruent to <4 3._____________
4. m<1=m<3, m<2=m<4 4._______________________
5. m<3 + m<2=90* 5.____________________
6. m<3 +m<4=90* 6.___________________
7. <3 and <4 are supplementary 7.___________

Answer 2

I need help finding the reasons. I don't really understand how to do/find the reasons.
/-________-\

Answer 3

Complimentary is when they are next to each other, right? O___O

Answer 4

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 (replace m<1 with m<3)
6. m<3 +m<4=90* 6. Substitution Property (replace m<2 with m<4)
7. <3 and <4 are complimentary 7. Definition of Complementary Angles

Answer 5

complementary angles are two angles that add to 90 degrees

Answer 6

So they are all complimentary somehow? O_____O

Answer 7

<1 and <2 are complementary (given)
<3 and <4 are complementary (just proved)
<2 and <3 are complementary (buried in the proof)

Answer 8

and that's it

Answer 9

<2 and <3 are buried because they are in the middle? O___O

Answer 10

well it's not 100% clear why <2 and <3 are complementary, but since <1 and <2 are complementary (given) and <1 is congruent to <3, this means that we can replace <1 with <3 and say that <3 and <2 are complementary



So flip that around to get <2 and <3 are complementary

Answer 11

:D Ok, thank you, Jim. ^___^