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User Drstein
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2 Answers

9 votes

Answer:

Explanation:

I'm going to try to format this in the best way possible, but forgive me if it isn't perfect.

Statment: Reason

JK = NK: Given

JA = NA: Definition of a midpoint

Triangle NJK is isosceles: Definition of an isosceles triangle

m<J = m<N: Base angle converse theorem

AK = KA: Reflexive property

m<NKA = m<JKA: The Isosceles Decomposition Theorem (If midpoint, also angle bisector in an isosceles triangle)

m<JAK = m<NAK: The isosceles Decomposition theorem (If midpoint, also altitude in an isosceles triangle)

Triangle JAK = Triangle NAK: SAS, SSS, ASA, and AAS (All the angles and sides were congruent to one another, so you can use every shortcut in this case)

Stuff that isn't required on there:

What we can conclude from this is that in an isosceles triangle, if there is a midpoint from the angle that's not a base angle, then the two triangles it creates are congruent.

Please let me know if you have any questions.

User Tejasvi Hegde
by
8.8k points
10 votes

Answer:

jk and nk are the same angel therefore JAK and NAK are the same

User Spdexter
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