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. <

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) (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.
RELATED QUESTIONS
Similar. A is angle (answered by vampirewitchreine)

PROVE: ST is perpendicular to SY. GIVENS: Angle T is Congruent to Angle Y; Angle 1 is... (answered by Edwin McCravy)

(Similar figure, only use... (answered by solver91311)

What is it called when you have 2 parallel lines and one has a perpendicular to another... (answered by jsmallt9)

Hello, We are learning about similar triangles. Here is the question: If MNPQ is a... (answered by rfer)

given: AD is perpendicular to FB, angle 1 is congruent to angle 3 prove: angle 2 is... (answered by vleith)

TWO PROOFS FOR THE SAME PICTURE. 1. Given: BD bisects AC, AB ≅ BC. Prove: angle (answered by lynnlo)

TWO PROOFS FOR THE SAME PICTURE. Please explain. 1. Given: BD bisects AC, AB ≅ BC. (answered by MathLover1)

Sorry, I couldn't find a better picture. Just look at the bold triangle part, ignore the... (answered by jerryguo41)