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21.04.2020 •
Mathematics
In a circle, if a diameter bisects a chord (that is not a diameter), then:
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Ответ:
The chord and the diameter are perpendicular.
Suppose that chord AB is bisected by a diameter, which interserct the chord at point C.
Now, focus on triangles OAC and OBC. They have:
OA = OB because they are both radiiOC in commonAC=BC because the diameter bisects the chordSo, they are congruent. In particular, this means that angles ACO and BCO are equal. Since they sum up to 180, each of them must be 90°, so the diameter is perpendicular to the chord.
Ответ:
the second one
Step-by-step explanation: