4.
given: kh≅kj, km bisectshj .
prove: ∠h ≅ ∠j

supply the missing reason in statement 6 of the proof of the isosceles triangle theorem.

begin with isosceles ∆hkj with kh≅kj . construct km , a bisector of the base hj.

a)sss postulate
b)definition of segment bisector
c)reflexive property of congruence
d) cpctc

Option D is correct

CPCT

Step-by-step explanation:

Given: In an isosceles triangle ΔHKJ with

Construct KM, a bisector of the base HJ.

to prove:

In ΔKHM and ΔKJM

bisects     [Given]

Segment bisectors states that a line or segment which cuts another line segment into two equal parts.

then, by definition of Segment bisector :

         [Given]

Reflexive property of congruence that any geometric figure is congruent to itself.

   [by definition of Reflexive property of congruence]

SSS(Side-Side-Side) Postulates states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

therefore, by SSS postulates

ΔKHM ΔKJM

By CPCT [Corresponding Part of congruent Triangle]

         proved!

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step-by-step explanation: