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PLS PLS PLS help me I'm reposting this question bc no one helped me

Determine whether line segment AB is a diameter of the circle.

O Yes, Triangle CAB is congruent to triangle DAB by the SAS Congruence Theorem, so line segment BC is congruent to line segment BD. This means that line segment AB is a perpendicular bisector of line segment CD.

O Yes, The endpoints of line segment AB lie on the circle, so line segment AB is a diameter by the definition of a diameter.

O No, because line segment AB does not bisect line segment CD, line segment AB cannot be a diameter

O No, line segment AB is not perpendicular to line segment CD, so the Perpendicular Chord Bisector Theorem cannot be used to conclude that line segment AB is a diameter

PLS PLS PLS help me I'm reposting this question bc no one helped me Determine whether-example-1
User Mahdi
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2 Answers

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Answer:

1st option

Yes, Triangle CAB is congruent to triangle DAB by the SAS Congruence Theorem, so line segment BC is congruent to line segment BD. This means that line segment AB is a perpendicular bisector of line segment CD.

User V P
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Answer:

Yes, Triangle CAB is congruent to triangle DAB by the SAS Congruence Theorem, so line segment BC is congruent to line segment BD. This means that line segment AB is a perpendicular bisector of line segment CD.

User Ashutosh Chamoli
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