Question

Line s is the perpendicular bisector of JK. If line s intersects JK at point L, which of the following statements must be true? Check all that apply. A. Line s is perpendicular to JK B. JL = KL C. Line s is parallel to JK D. Point L is the midpoint of JK E. Line s intersects JK at a 180 angle

Answer 1

Sent a picture of the solution to the problem (s).

Answer 2

The only statement that MUST be true is line s must be perpendicular to JK.

A perpendicular bisector cuts the line at 90 degrees.

A sketch of the lines is presented below;

        J--------------------------|L-----------------------------------K

                                        S

Here are few deduction we can make from the sketch;

• The line s must be perpendicular to JK,

• The line may not bisect JK at the midpoint, it can be anywhere along the line.

• The angle between the line s and JK is 90 degrees

Thus, we can conclude that the only statement that MUST be true in this problem is line s must be perpendicular to JK.

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