The diagram is a straightedge and compass construction. Lines
l, m, and n are the perpendicular bisectors of the sides of triangle ABC.

Select all the true statements.

Multiple select question.

A)
Point E is closer to point A than it is to point C.

B)
Point L is closer to point B than it is to point A.

C)
Point D is closer to point B than it is to point C.

D)
Point J is closer to point A than it is to point B or point C.

E)
Point K is closer to point C than it is to point A or point B.

F)
Point L is closer to point C than it is to point A or point B.

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A perpendicular bisector is a straight line that is at a right angle to and divides a given line segment into two equal parts. The statements that are true are:

B) Point L is closer to point B than it is to point A.

E) Point K is closer to point C than it is to point A or point B.

A perpendicular bisector is a straight line that is at a right angle to and divides a given line segment into two equal parts.

Thus given that lines l, m, and n are perpendicular bisectors of the respective sides of the triangle, then it implies that point J is the center of the triangle. Thus it is equidistant to points A, B, and C.

Considering the position and distance of each point to one another, therefore the correct statements are:

B) Point L is closer to point B than it is to point A.

E) Point K is closer to point C than it is to point A or point B.

For more clarifications on the perpendicular bisector of a line segment, visit: https://brainly.com/question/10492977

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