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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 9: Q1. (page 330)

Draw a circle and several parallel chords. What do you think is true of the midpoints of all such chords?

Short Answer

Expert verified

Lie on the diameter who perpendicular to the diameter $A B$ .

Step by step solution

Step 1. Concept used.

Simply draw a circle with chords.

Step 2. Simply draw the circle and chords.

Circle with chords are drawn below.

If a perpendicular is drawn from centre of circle to the midpoint of chord, then it will be perpendicular and only chord passing through centre will be diameter and its mid-point is centre.