11/10/2023 0 Comments Center geometry definitionĪny two circles with the same radius are congruent− if one circle is moved so that its centre coincides with the centre of the other circle, then it follows from the definition that the two circles will coincide. The plane has this property except for lines.ĮXERCISE 1 a Identify all translations, rotations and reflections of the plane that map a line onto itself.ī Which of the transformations in part a map a particular point P on to another particular point Q on. The same as every other point on the circle − no other figure in Thus every point on a circle is essentially It can also be done by a reflection in the diameterĪOB bisecting POQ. This canīe done by a rotation through the angle θ = POQ about Thus every diameter of the circle is an axis of symmetry.Īs a result of these symmetries, any point P on a circleĬan be moved to any other point Q on the circle. Reflection in the line AOB reflects the circle onto itself.
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