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Lesson: Equality of the Areas of Two Triangles

Sample Question Videos

Worksheet • 9 Questions • 2 Videos

Q1:

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

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

Q2:

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

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

Q3:

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

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

Q4:

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

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

Q5:

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

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

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 𝐿 β«½ 𝑁 𝐺
  • B 𝐴 𝑁 = 𝐴 𝐺
  • C π‘Œ 𝐿 = 𝑁 𝐺
  • D π‘Œ 𝐺 = 𝑁 𝐿
  • E π‘Œ 𝐺 β«½ 𝑁 𝐿

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 π‘Œ β«½ 𝐴 𝑁
  • B 𝐡 𝐴 = 𝐡 𝑁
  • C 𝐹 π‘Œ = 𝐴 𝑁
  • D 𝐹 𝑁 = 𝐴 π‘Œ
  • E 𝐹 𝑁 β«½ 𝐴 π‘Œ

Q8:

Points 𝑍 , 𝐻 , and 𝐷 are collinear. If the areas of β–³ 𝑍 𝐢 𝐻 and β–³ 𝐢 𝐻 𝐷 are the same, which of the following must be true?

  • A 𝐢 𝐻 β«½ 𝐹 𝐷
  • B 𝐢 𝐻 = 𝐻 𝐷
  • C 𝐢 𝐷 = 𝐹 𝐻
  • D 𝐢 𝐻 = 𝐷 𝐢

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 .

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