Worksheet: Intersecting Chords

In this worksheet, we will practice using the intersecting chords theorem to find missing lengths and decide if two intersecting line segments could be chords.

Q1:

If 𝐸 𝐴 𝐸 𝐡 = 8 7 , 𝐸 𝐢 = 7 c m , and 𝐸 𝐷 = 8 c m , find the lengths of 𝐸 𝐡 and 𝐸 𝐴 .

  • A 𝐸 𝐡 = 9 . 1 4 c m , 𝐸 𝐴 = 6 . 1 2 c m
  • B 𝐸 𝐡 = 8 c m , 𝐸 𝐴 = 7 c m
  • C 𝐸 𝐡 = 6 . 1 2 c m , 𝐸 𝐴 = 9 . 1 4 c m
  • D 𝐸 𝐡 = 7 c m , 𝐸 𝐴 = 8 c m

Q2:

Given that 𝐸 𝐴 = 5 . 2 c m , 𝐸 𝐢 = 6 c m , 𝐸 𝐡 = 7 . 5 c m , and 𝐸 𝐷 = 6 . 5 c m , do the points 𝐴 , 𝐡 , 𝐢 , and 𝐷 lie on a circle?

  • Ayes
  • Bno

Q3:

In the following figure, find the value of π‘₯ .

Q4:

Given that 𝐸 𝐢 = 4 , 𝐸 𝐷 = 1 5 , and 𝐸 𝐡 = 6 , find the length of 𝐸 𝐴 .

Q5:

Points 𝐴 , 𝐸 , 𝐡 and 𝐷 , 𝐸 , 𝐢 are collinear. Suppose that 𝐸 𝐴 = 7 . 3 , 𝐸 𝐢 = 5 . 2 , 𝐸 𝐡 = 5 . 8 , and 𝐸 𝐷 = 7 . 6 . Do points 𝐴 , 𝐡 , 𝐢 , and 𝐷 lie on a circle?

  • Ano
  • Byes

Q6:

What is the radius of circle 𝑀 ?

Q7:

In the following figure, find the value of π‘₯ .

Q8:

Given that 𝐸 𝐢 = 1 2 , 𝐸 𝐷 = 1 1 , and 𝐸 𝐡 = 1 2 , find the length of 𝐸 𝐴 .

Q9:

If 𝐸 𝐴 𝐸 𝐡 = 9 2 , 𝐸 𝐢 = 3 c m , and 𝐸 𝐷 = 6 c m , find the lengths of 𝐸 𝐡 and 𝐸 𝐴 .

  • A 𝐸 𝐡 = 1 8 c m , 𝐸 𝐴 = 1 c m
  • B 𝐸 𝐡 = 9 c m , 𝐸 𝐴 = 2 c m
  • C 𝐸 𝐡 = 1 c m , 𝐸 𝐴 = 1 8 c m
  • D 𝐸 𝐡 = 2 c m , 𝐸 𝐴 = 9 c m
  • E 𝐸 𝐡 = 4 . 5 c m , 𝐸 𝐴 = 1 3 . 5 c m

Q10:

Given that 𝐸 𝐴 = 7 . 5 c m , 𝐸 𝐢 = 5 . 6 c m , 𝐸 𝐡 = 7 . 9 c m , and 𝐸 𝐷 = 6 c m , do the points 𝐴 , 𝐡 , 𝐢 , and 𝐷 lie on a circle?

  • Ano
  • Byes

Q11:

Points 𝐴 , 𝐸 , 𝐡 and 𝐷 , 𝐸 , 𝐢 are collinear. Suppose that 𝐸 𝐴 = 7 . 4 , 𝐸 𝐢 = 5 . 4 , 𝐸 𝐡 = 6 , and 𝐸 𝐷 = 7 . Do points 𝐴 , 𝐡 , 𝐢 , and 𝐷 lie on a circle?

  • Ano
  • Byes

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