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These pages are designed for use on an interactive whiteboard, so each page makes maximum use of the space with a minimal menu system at bottom left. Note your browser must be set up for Java applets. Many pages use the Cinderella java applet, so allow time for the page to fully download. Each page contains interactive geometry that can be controlled by "click and drag" movements of the mousepointer. Buttons may be available on the left of screen to permit more interactivity.
Find more information on interactive geometry at MathsNet
1. Make the quadrilateral
Make the quadrilateral into a specific type: square, parallelogram, trapezium, rhombus, quadrilateral, rectangle, kite, right-angled quadrilateral
2. Make the triangle
Make the triangle into a specific type: isosceles, equilateral, scalene, right-angled
3. Identify the quadrilaterals
Eight quadrilaterals are displayed that all "appear" to be squares. Drag the corners of each shape to discover which quadrilateral it really is.
Answers
square, parallelogram, trapezium, rhombus
quadrilateral, rectangle, kite, right-angled quadrilateral
4. Investigate reflections
Drag the corners of the triangle or move the mirror line.
5. Investigate translations
Drag the corners of the shapes.
6. Investigate enlargements
Drag the corners of the shapes and the centre.
7. Bisect the line
The line AB is displayed. The task is to bisect this line, in other words find the midpoint of AB. There are many ways of doing this using the buttons provided on the left.
Methods
1 (easy). Click on middle and drag from A to B.
2 (hard). Click on circle and drag from AB, then drag from B to A. Click on add point and put points at the two intersections of the circles. Click on add a line and join up these two points. Click on add point and put a point where this line crosses AB.
8. A Euclidian construction
A genuinely difficult mathematical construction. The required line AD should always remain the same length as AB, even when AB is altered! Click on mover and drag points A or B to check this.
A set of demonstrations to illustrate rotation