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Maslowich
3 years ago
11

Helppppppppppppppppppppppppppppppppp

Mathematics
2 answers:
vivado [14]3 years ago
7 0

Answer:

Option D is correct

CPCT

Step-by-step explanation:

Given: In an isosceles triangle ΔHKJ with KH \cong KJ

Construct KM, a bisector of the base HJ.

to prove: \angle H \cong \angle J

In ΔKHM and ΔKJM

\overline{KM} bisects \overline{HJ}     [Given]

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

then, by definition of Segment bisector :

\overline{HM} \cong \overline{JM}

KH \cong KJ          [Given]

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

\overline{KM} \cong \overline{KM}    [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 \cong ΔKJM

By CPCT [Corresponding Part of congruent Triangle]

\angle H \cong \angle J          proved!

Lena [83]3 years ago
4 0
The answer is D, because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.
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