Lesson Worksheet: Proving Cyclic Quadrilaterals Mathematics

In this worksheet, we will practice proving that a quadrilateral is cyclic using the angles resulting from its diagonals.

Q1:

Is 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • AYes
  • BNo

Q2:

Can a circle pass through all the vertices of the quadrilateral 𝐴𝐵𝐶𝐷?

  • ANo
  • BYes

Q3:

Given that 𝑚𝐵𝐶𝐴=61, and 𝑚𝐷𝐴𝐵=98, can a circle pass through the points 𝐴, 𝐵, 𝐶, and 𝐷?

  • ANo
  • BYes

Q4:

Is the trapezoid 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • ANo
  • BYes

Q5:

Is 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • ANo
  • BYes

Q6:

Is 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • AYes
  • BNo

Q7:

In the figure below, 𝑚𝐴𝐷𝐸=26.9, 𝑚𝐴𝐸𝐵=82.9, and 𝑚𝐴𝐵𝐸=59.1. Is 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • ANo
  • BYes

Q8:

True or False: All rhombuses are cyclic quadrilaterals.

  • ATrue
  • BFalse

Q9:

True or False: All isosceles trapezoids are cyclic quadrilaterals.

  • ATrue
  • BFalse

Q10:

True or False: All trapezoids are cyclic quadrilaterals.

  • ATrue
  • BFalse

Practice Means Progress

Boost your grades with free daily practice questions. Download Nagwa Practice today!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.