Worksheet: Altitudes of Triangles

In this worksheet, we will practice identifying altitudes of a triangle and use their properties to find a missing length.

Q1:

Where is the intersection of the altitudes of this triangle?

  • Aoutside the triangle
  • Bat vertex 𝐢
  • Cinside the triangle
  • Dat vertex 𝐡

Q2:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐴 𝐢 ?

  • A 𝐴 𝐹
  • B 𝐢 𝐷
  • C 𝐡 𝐸

Q3:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐡 𝐢 ?

  • A 𝐢 𝐷
  • B 𝐡 𝐹
  • C 𝐴 𝐸

Q4:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐴 𝐢 ?

  • A 𝐴 𝐸
  • B 𝐢 𝐷
  • C 𝐡 𝐹

Q5:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐴 𝐡 ?

  • A 𝐡 𝐸
  • B 𝐴 𝐹
  • C 𝐢 𝐷

Q6:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐴 𝐡 ?

  • A 𝐴 𝐸
  • B 𝐡 𝐹
  • C 𝐢 𝐷

Q7:

How many altitudes does this triangle have?

Q8:

Which line segment is the altitude of triangle 𝐴 𝐡 𝐢 which is perpendicular to βƒ–     βƒ— 𝐡 𝐢 ?

  • A 𝐴 𝐹
  • B 𝐢 𝐷
  • C 𝐡 𝐸

Q9:

Draw a triangle 𝐴 𝐡 𝐢 in which 𝐴 𝐡 = 𝐴 𝐢 = 4 c m and 𝐡 𝐢 = 5 c m . Draw the perpendicular bisectors of each of the three sides. Are the perpendicular bisectors concurrent?

  • Ayes
  • Bno

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