If A is the center of the circle, then which statement explains how segment GH is related to segment FH?


Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.

segment GH ≅ segment FH because arc EF ≅ arc GF
segment GH ≅ segment FH because the inscribed angles that create the segments are congruent.
segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint.
segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A.

If A is the center of the circle then which statement explains how segment GH is related to segment FH Circle A with inscribed triangle EFG point D is on segmen class=

Respuesta :

Statement fourth the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have AH as the radius and FG as a chord

AH is perpendicular to FG, AH⊥FG

As we know that a line passing through the center and perpendicular to the chord, bisects the chord.

∴ AH bisects FG

∴ FH = GH

Thus, the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent and angles EDA and GHA are right angles.

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