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Worksheet: Equality of the Areas of Two Triangles

Q1:

Which triangle has the same area as β–³ 𝐿 𝐡 𝐢 ?

  • A β–³ 𝑂 𝑋 𝐿
  • B β–³ 𝐸 𝑂 𝐿
  • C β–³ 𝐸 𝐿 𝐡
  • D β–³ 𝐷 𝑋 𝐿
  • E β–³ 𝑂 𝑋 𝐷

Q2:

Which triangle has the same area as β–³ 𝐷 𝐢 𝑁 ?

  • A β–³ 𝐿 𝑀 𝐷
  • B β–³ 𝑂 𝐿 𝐷
  • C β–³ 𝑂 𝐷 𝐢
  • D β–³ 𝐹 𝑀 𝐷
  • E β–³ 𝐿 𝑀 𝐹

Q3:

Which triangle has the same area as β–³ 𝐴 𝐹 𝑀 ?

  • A β–³ 𝑀 𝐺 𝑍
  • B β–³ 𝐴 𝐹 𝑍
  • C β–³ 𝐹 𝑀 𝐺
  • D β–³ 𝐴 𝐹 𝐺
  • E β–³ 𝐴 𝑀 𝐺

Q4:

Which of the following has the same area as β–³ 𝑁 𝑀 𝐾 ?

  • A 𝐻 𝑁 𝐾 𝐢
  • B 𝑍 𝑂 𝑋 𝐻
  • C β–³ 𝐻 𝑁 𝑍
  • D β–³ 𝐢 𝑍 𝐻
  • E β–³ 𝐢 𝑁 𝐻

Q5:

Which triangle has the same area as β–³ 𝐡 𝐿 𝐴 ?

  • A β–³ 𝐾 𝐢 𝐺
  • B β–³ 𝐢 𝐺 𝐡
  • C β–³ 𝐺 𝐡 𝐾
  • D β–³ 𝐾 𝑂 𝐿
  • E β–³ 𝐾 𝐢 𝐿

Q6:

If the areas of β–³ 𝐿 𝑁 𝐴 and β–³ π‘Œ 𝐴 𝐺 are the same, which of the following must be true?

  • A π‘Œ 𝐺 βˆ₯ 𝑁 𝐿
  • B π‘Œ 𝐿 = 𝑁 𝐺
  • C π‘Œ 𝐺 = 𝑁 𝐿
  • D π‘Œ 𝐿 βˆ₯ 𝑁 𝐺
  • E 𝐴 𝑁 = 𝐴 𝐺

Q7:

If the areas of β–³ π‘Œ 𝐴 𝐡 and β–³ 𝐹 𝐡 𝑁 are the same, which of the following must be true?

  • A 𝐹 𝑁 βˆ₯ 𝐴 π‘Œ
  • B 𝐹 π‘Œ = 𝐴 𝑁
  • C 𝐹 𝑁 = 𝐴 π‘Œ
  • D 𝐹 π‘Œ βˆ₯ 𝐴 𝑁
  • E 𝐡 𝐴 = 𝐡 𝑁

Q8:

Points , , and are collinear. If the areas of and are the same, which of the following must be true?

  • A
  • B
  • C
  • D

Q9:

If the area of β–³ 𝐷 𝐹 𝐢 = 9 3 . 8 c m 2 and 𝐴 𝐹 = 𝐹 𝐸 , find the area of β–³ 𝐴 𝐡 𝐸 .