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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 AB.

Step by step solution

01

Step 1. Concept used.

Simply draw a circle with chords.

02

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.

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Most popular questions from this chapter

Draw a diagram similar to the one shown, but much larger. Carefully draw the perpendicular bisectors of AB¯ and BC¯.

  1. The perpendicular bisect in a point. Where does that point to be?
  2. Write an argument that justifies your answer to part (a).

Find AB.In Exercise 3,CB¯ is tangent to ⊙A.

For each exercise draw a circle and inscribe the polygon in the circle.

f. A quadrilateral PQRS.

JT¯is tangent to ⊙Oat T. Complete.

If JK=9 and KO=8, then JT=?

⊙Q and ⊙R are congruent circles the intersect at C andD. CD¯ is called the common chord of the circles.

  1. What kind of quadrilateral is QDRC? Why?
  2. CD¯Must be the perpendicular bisector of ⊙Q. Why?
  3. If QC=17 and QR=30, find CD.
See all solutions

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