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.

Question 1

Is there a circle passing through the vertices of the quadrilateral 𝐴𝐵𝐶𝐷?

  • ANo
  • BYes

Question 2

Is the trapezoid 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • ANo
  • BYes

Question 3

Is 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • ANo
  • BYes

Question 4

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

  • ANo
  • BYes

Question 5

Is 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • AYes
  • BNo

Question 6

Is 𝐴𝐵𝐶𝐷 a cyclic quadrilateral?

  • AYes
  • BNo

Question 7

True or False: All rhombuses are cyclic quadrilaterals.

  • ATrue
  • BFalse

Question 8

True or False: All isosceles trapezoids are cyclic quadrilaterals.

  • ATrue
  • BFalse

Question 9

True or False: All trapezoids are cyclic quadrilaterals.

  • AFalse
  • BTrue

Question 10

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

  • ANo
  • BYes

This lesson includes 16 additional questions and 171 additional question variations for subscribers.

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