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Given:KH=KJ,KM bisects HJ .
Prove: ∠H ≅ ∠J the missing reason in Statement 2 of the proof of the Isosceles Triangle Theorem.

Begin with isosceles ∆HKJ with KH=KJ. Construct KM , a bisector of the base HJ.

GivenKHKJKM bisects HJ Prove H J the missing reason in Statement 2 of the proof of the Isosceles Triangle Theorem Begin with isosceles HKJ with KHKJ Construct K class=
GivenKHKJKM bisects HJ Prove H J the missing reason in Statement 2 of the proof of the Isosceles Triangle Theorem Begin with isosceles HKJ with KHKJ Construct K class=

Respuesta :

Answer:

I think it is the definition of segment bisctor which is KM

But I'm not sure

The side HM ≅ JM , by the definition of line bisector, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, angles and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.

The triangle in the figure is Δ HKJ,

It is an Isosceles Triangle, in an isosceles triangle, the two sides are equal, and so the corresponding angles are also equal.

The segment KM bisects the base HJ

The step 1 is

KM bisects the base HJ ( given)

HM ≅ JM   ( this is due to the definition of segment bisector)

According to the definition of segment bisector, when a line is cut by a bisector it divides the line into two equal parts.

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