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Point H is the circumcenter of ΔJKL.

Point H is the circumcenter of triangle J K L. Lines are drawn from the points of the triangle to point H. Lines are drawn from point H to the sides of the triangle to form right angles and line segments H D, H E, and H F.
Which must be true?

Line segment F H is-congruent-to line segment D H
Line segment J F is-congruent-to line segment L H
Line segment J H is-congruent-to line segment L H
Line segment K F is-congruent-to line segment L D

Respuesta :

Answer:

C

Step-by-step explanation:

Since the circumcenter is the center of the circle which passes through all the vertices of the triangle, HJ≅HK≅HL

The distances to the sides may all be different.

MrRoyal

The circumcenter is simply the center of a triangle's circumcircle.

The true statement is [tex]\mathbf{JH \cong LH}[/tex]

The circumcenter is given as point H.

The vertices of the triangle are given as points J, K and L

The circumcenter is equidistant from the vertices of the triangle.

i.e.

[tex]\mathbf{JH \cong KH \cong LH}[/tex]

Hence, the true statement is:

[tex]\mathbf{JH \cong LH}[/tex]

Read more about circumcenter at:

https://brainly.com/question/16276899

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