Answered

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Please help (geometry)
best answer gets the brainiest thing everyone’s obsessed with for some reason

Please Help Geometry Best Answer Gets The Brainiest Thing Everyones Obsessed With For Some Reason class=

Sagot :

Ashraf82

Answer:

The statement BI = BK is true from the given information ⇒ B

Step-by-step explanation:

If a line is a perpendicular bisector of a line segment, then

  • The line intersects the line segment in 4 right angles
  • The line intersects the line segment in the mid-point of the line segment
  • Any point on the line is equidistant from the endpoints of the line segment

Let us find the true statement

∵ Line AB is the perpendicular bisector of segment IK

→ By using the 1st note above

∴ AB ⊥ IK

∴ ∠IJA, ∠KJA, ∠IJB, ∠KJB are right angles

→ By using the 2nd note above

∴ J is the mid-point of IK

∴ IJ = JK

∵ Any point on line AB is equidistant from The endpoints of IK ⇒ 3rd note

∴ AI = AK

∴ BI = BK

∴ The statement BI = BK is true from the given information

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