Student Activity Construction 22 (Higher Level only)

Student Activity Construction 22 (Higher Level only)
Use in connection with the interactive file “Constr 22” on the Student’s CD.
Construction 22: To construct an orthocentre of a triangle.
1.
What is meant by saying one line is perpendicular to another line?
_________________________________________________________________________
_________________________________________________________________________
2.
How were points D, E and F formed?
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
3.
List the protocol to find the orthocentre of a triangle.
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
4.
Move the points in the triangle and as the triangle changes are the perpendiculars from
the vertices to the opposite sides still concurrent and what is the name of the point
where they meet?
Draft 01
© Project Maths Development Team
Construction 22
Page 1 of 2
5.
What is meant by the point known as the Orthocentre of any triangle?
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
6.
By moving the points A, B and / or C, determine if the orthocentre of a triangle can be
outside the triangle.
_________________________________________________________________________
7.
Find the orthocentres of the following triangles.
Draft 01
© Project Maths Development Team
Construction 22
Page 2 of 2