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mash [69]
3 years ago
8

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

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

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

Step-by-step explanation:

<em>Let us explain the meaning of perpendicular bisector</em>

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.

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