A line segment AC is bisected at B. Which of the following equals line segment AB ?

Line segment AC

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Line segment BC

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Line segment BC +AB

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Line segment AB + AC

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Solution

The correct option is B Line segment BC
A bisector divides the line segment into two equal halves.
Line segment AC is bisected at B.
$⟹$ AB = BC = $\frac{A C}{2}$

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The lengths of line segment AB and line segment BC make the length of line segment AC in figure alongside.

Question 3
AD and BC are equal perpendiculars to a line segment AB.
Show that CD bisects AB.

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