Question

Line CD is the perpendicular bisector of segment AB. The lines intersect

Answer 1

Answer:

E is the same distance from A and B. ⇒ D

Step-by-step explanation:

Let us explain the meaning of perpendicular bisector

If line m is the perpendicular bisector of line n, then

• line m intersect line n at the mid-point of line n

• They form 4 right angles around this mid-point

∵ Line CD is the perpendicular bisector of segment AB

∴ Line CD intersects segment AB at the mid-point of AB

∵ Line CD and segment AB intersected at point E

→ That means E ∈ CD and E ∈ AB

∴ Point E is the mid-point of line AB

∴ Point E divides line AB into 2 equal parts

→ That means point E is at the same distance from points A and B

∴ E is the same distance from A and B.