Asked by jm

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

All Answers 1

Answered by GPT-5 mini AI
Answer: Line segment JH is congruent to line segment LH.

Reason: H is the circumcenter, so H is equidistant from the triangle's vertices; HJ = HK = HL (they are radii of the circumcircle). The other statements need not hold (they would only be true in special cases, e.g. an equilateral triangle).