Search Results for “reflection”
Reflection Composition 2
Composition of reflections in two non-parallel lines. can you match a rotation to the combined reflection?
Reflection Composition
Composition of reflection in two parallel lines. Can you match the combined reflections with a translation?
Combination of Reflections through Parallel Lines
Press Reflect twice. Now drag point I so the orange triangle lies over the image under the second reflection. Can you describe another transformation equivalent to the two reflections?
Reflection in a circle
Point A is midway between the center and the circumference of a circle. BC is the reflection of AB in the circle. What is the maximum angle of ABC?
Maximum Angle of Reflection
Drag B to find the maximum angle of reflection. The circumcircle of ABC is the locus of all points which subtend the same angle on chord AC. In general G is inside the circumcircle and so angle AGC < angle ABC. The exception is when B=G.
Reflection Clock
You can reflect the triangle in the minute hand, then reflect the reflection in the second hand. How long does it take to do a complete rotation? You can change the triangle by dragging the red points.
Ellipse Reflection Property
One definition of an ellipse is as the locus of points the sum of whose distance from two fixed points (the foci) is constant. This gives you a way to draw the ellipse with two pins and a piece of string. Here we relate that definition to the focal property: that light emanating from one focus reflects to the other focus.
