Refer to the figure and match the theorem that supports the statement

For the relationship to chords and diameters, the second statement on the right applies. A chord and the radii to its ends form an isosceles triangle. The altitude is the perpendicular bisector of the chord (triangle base). Of course, it is also a line segment that intersects the center of the circle (the apex of the isosceles triangle).

BarrettArcher BarrettArcher · Answer 2 · 2019-08-15T11:22:31+02:00

Answer:

1 matches with first statement, 2 matches with third statement and 3 matches with second statement i.e, 1,3,2.

Step-by-step explanation:

In circle, when two chords are equal , than their corresponding minor arcs are also equal. Converse is also true, if minor arcs are equal, than their corresponding chords are equal.So, when chords BC and DE are equal, than their minor arcs BC and DE are also equal. In converse, when arcs BC and DE are equal, than their chords BC and DE are also equal. for the third one, Perpendicular from the center bisect the chord, hence AX is ⊥ to BC than BX= XC.

We can say that diameters perpendicular to chord bisect the chord.

1 matches with first statement, 2 matches with third statement and 3 matches with second statement i.e, 1,3,2.