SOLUTION: <img src="http://www.kch42.dial.pipex.com/images/pyramid_scan1.jpg" /> Similar. A is angle 1, the angle next to it is angle 2, then angle 4 and B is angle 5, the top is angle 3. <

Algebra ->  Geometry-proofs -> SOLUTION: <img src="http://www.kch42.dial.pipex.com/images/pyramid_scan1.jpg" /> Similar. A is angle 1, the angle next to it is angle 2, then angle 4 and B is angle 5, the top is angle 3. <      Log On


   

Question 388888: Similar. A is angle 1, the angle next to it is angle 2, then angle 4 and B is angle 5, the top is angle 3.


Given: angle 1 is congruent to angle 5
Prove: angle 2 is congruent to angle 4


Statement---------------------------------------Reason
1. angle 1 is congruent to angle 5-----------------1. Given
2. m angle 1+ m angle 2= 180------------------------2. Linear pair= 180
3. m angle 4+ m angle 5= 180------------------------3. Linear pair= 180
4. m angle 1+ m angle 2= m angle 4+ m angle 5--------4. ?
5. m angle 2 is congruent to m angle 4-----------------5. ?
6. angle 2 is congruent to angle 4------------------6. Definition of Congruency
Answer by jerryguo41(197) About Me  (Show Source):
You can put this solution on YOUR website!
4, 5 and 6 can be skipped by using congruent supplements THM:
If 1 supp. 2
and if 3 supp. 4
and if 1 congruent 3
then 2 congruent 4

If you cant use congruent supplements THM:
4. Substitution
5. Substitution

#1 needs to be moved to after #4 because you do not need that until you try to make the two pairs of angles equal.