SOLUTION: Prove: Triangle KAJ = KAZ

Question 1011757:
Prove: Triangle KAJ = KAZ
Found 3 solutions by MathLover1, ikleyn, Freezie:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
The altitude to the base of an isosceles triangle bisects the vertex angle.
Given:KA is an altitude of Triangle KZJ, A is the midpoint of ZJ.
Prove: Triangle KAJ = KAZ
S1:KA is an altitude of Triangle KZJ- Given
S2: A is the midpoint of ZJ- Given
S3: KA = KA - Reflexive Property.(common side)
S4 ZA=AJ....The altitude to the base of an isosceles triangle bisects the base
S5 < KJA = < KZA - as angles across same side KA
S6- Triangle KJA = Triangle KZA - SAS
Answer by ikleyn(52821)   (Show Source): You can put this solution on YOUR website!
.
See also the lesson An altitude a median and an angle bisector in the isosceles triangle in this site.

Answer by Freezie(16)   (Show Source): You can put this solution on YOUR website!

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