Cat on Ladder

A ladder standing on a smooth floor against a wall slides down. Along what line does a cat sitting at the middle of the ladder move? Assume that the length of the ladder is L units. Use the ‘New point’ tool and mark a point A on the X-axis. Use the ‘ Circle with centre and radius’ tool and draw a circle with A as the centre and L as the radius. Use the ‘Intersect two objects’ tool and find the intersection of this circle with the Y axis. Hid the point on the negative Y axis. Join the two points( One on the X-axis and the another on the Y axis). Use the midpoint tool and find the midpoint of this line segment. Right click on the midpoint and put the trace on. Move the point on the X axis to see trace.


Tuba Khan

Material Type
locus  line  circle  segments  radius  mid-point 
Target Group (Age)
16 – 18
GeoGebra version
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