Cyclic Quadrilaterals Quiz

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Questions and Answers

Which term is used to describe a quadrilateral whose vertices all lie on a single circle?

  • Irregular quadrilateral
  • Concave quadrilateral
  • Cyclic quadrilateral (correct)
  • Convex quadrilateral

What is the center of the circumcircle called?

  • Chordal center
  • Concyclic center
  • Circumradius
  • Circumcenter (correct)

Which of the following is NOT a name for a cyclic quadrilateral?

  • Chordal quadrilateral
  • Concyclic quadrilateral
  • Convex quadrilateral (correct)
  • Inscribed quadrilateral

What is the circumradius of a cyclic quadrilateral?

<p>The radius of the circumcircle (C)</p> Signup and view all the answers

Do all quadrilaterals have a circumcircle?

<p>No, not all quadrilaterals have a circumcircle (C)</p> Signup and view all the answers

Which term is used to describe a quadrilateral whose vertices all lie on a single circle?

<p>Cyclic quadrilateral (C)</p> Signup and view all the answers

What is the center of the circumcircle called?

<p>Circumcenter (C)</p> Signup and view all the answers

What is the circumradius of a cyclic quadrilateral?

<p>The radius of the circumcircle (C)</p> Signup and view all the answers

Which of the following is NOT a name for a cyclic quadrilateral?

<p>Tetragon (D)</p> Signup and view all the answers

Do all quadrilaterals have a circumcircle?

<p>It depends on the quadrilateral (A)</p> Signup and view all the answers

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Study Notes

Cyclic Quadrilaterals

  • A quadrilateral whose vertices all lie on a single circle is called a cyclic quadrilateral.
  • The center of the circumcircle is called the circumcenter.
  • Tritangle is NOT a name for a cyclic quadrilateral.
  • The circumradius of a cyclic quadrilateral is the radius of the circumcircle.
  • Not all quadrilaterals have a circumcircle, but a quadrilateral that does is called a cyclic quadrilateral.

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