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Lesson: Similar Polygons

Sample Question Videos

Worksheet • 11 Questions • 3 Videos

Q1:

If 𝐴 𝐡 𝐢 𝐷 is similar to 𝑋 π‘Œ 𝑍 𝐿 , what is the length of 𝐴 𝐷 ?

Q2:

Given that triangles 𝐴 𝐡 𝐢 and 𝐴 β€² 𝐡 β€² 𝐢 β€² are similar, work out the value of π‘₯ .

  • A π‘₯ = 7
  • B π‘₯ = 5
  • C π‘₯ = 1 2
  • D π‘₯ = 6
  • E π‘₯ = 2 . 5

Q3:

If 𝐡 𝐸 𝐹 𝐴 ∼ 𝐸 𝐷 𝐢 𝐡 , find the value of π‘₯ .

Q4:

Given that 𝑄 𝑅 𝑃 𝑀 ∼ 𝑆 𝑉 𝑍 π‘Š , find the value of π‘₯ .

Q5:

Given that the two polygons are similar, find the value of π‘₯ .

Q6:

These two shapes are similar, and their areas 𝐴 1 and 𝐴 2 are given. Find the value of π‘₯ .

Q7:

Given that the two given polygons are similar, determine the value of π‘₯ .

Q8:

Given that the two polygons are similar, find the value of π‘₯ .

Q9:

Given that 𝐴 𝐡 𝐢 𝐷 ∼ 𝐸 𝐹 𝐺 𝐻 , find the values of π‘₯ and 𝑦 .

  • A π‘₯ = 1 6 , 𝑦 = 9
  • B π‘₯ = 1 0 , 𝑦 = 1 8
  • C π‘₯ = 1 6 , 𝑦 = 4
  • D π‘₯ = 8 , 𝑦 = 1 1
  • E π‘₯ = 8 , 𝑦 = 9

Q10:

Given that 𝐴 𝐡 𝐢 𝐷 ∼ 𝑋 π‘Œ 𝑍 𝐿 , determine π‘š ∠ 𝑋 π‘Œ 𝑍 .

Q11:

Given that 𝐴 𝐡 𝐢 𝐷 is similar to 𝑄 𝑆 𝑅 𝑃 , find the values of π‘₯ and 𝑦 .

  • A π‘₯ = 1 1 , 𝑦 = 4 9
  • B π‘₯ = 3 3 , 𝑦 = 4 9
  • C π‘₯ = 1 1 , 𝑦 = 4 6
  • D π‘₯ = 1 0 . 7 , 𝑦 = 4 6
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