Bisectors & Loci – Demonstration
This resource provides animated demonstrations of the mathematical method.
Check animations and delete slides not needed for your class.
Perpendicular Bisector
90°
Cut in half.
Perpendicular from a Point
Perpendicular from a Point to a Line
Angle Bisector
60° Angle
What is the locus of a point that is always 4 cm away from B?
4 cm
B
What is the locus of a point that is always the same distance from A & B?
A
B
This line is a perpendicular bisector of the line AB.
What is the locus of a point that is always 3 cm from line AB?
What about here?
×
A
B
1) Construct the locus of a point
that is equidistant between A and B.
A
2) Construct a perpendicular line from the point C.
B
C
3) Mark the point X that lies within the triangle, is equidistant
from the lines DE and DF, and is 5 cm from F.
E
4) Construct a right-angled triangle using GH. Construct a 60° angle at H.
Find the ‘triangle centre’: the point equidistant from all sides.
H
G
Answers
D
F
1) Construct the locus of a point
that is equidistant between A and B.
2) Construct a perpendicular line from the point C.
B
A
C
3) Mark the point X that lies within the triangle, is equidistant
from the lines DE and DF, and is 5 cm from F.
E
4) Construct a right-angled triangle using GH. Construct a 60° angle at H.
Find the ‘triangle centre’: the point equidistant from all sides.
H
G
X
Answers
D
F
Questions?
Comments?
Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
Please feel free to email:
tom@goteachmaths.co.uk