Line k is the perpendicular bisector of pq. if line k intersects pq at point r, which of the following statements must be true? check all that apply. a. point r is the midpoint of line k b. line k intersects pq at a 90 angle c. line k is parallel to pq d. e. line k bisects pq

Option B & E are Correct Option.

Step-by-step explanation:

Given: Line K is perpendicular bisector of PQ.

           Line K intersect PQ at R.

Option A:

Line k is perpendicular bisector of PQ.

⇒ PQ is divided in equal parts.

Thus, This is not correct .i.e., Point R is not Mid point of line k.

Option B:

Since Line k is perpendicular to PQ.

⇒ Line k intersect the PQ at right angle or 90°.

Thus, This is correct option.

Option C:

Since, Line k is perpendicular to PQ. So, it can not be parallel to PQ.

Thus, This is not correct Option.

Option E:

Line k is bisecting line Segment PQ.

⇒ R is mid point of PQ

Thus, This Option is Correct.

Therefore, Option B & E are Correct Option.