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Q: What is a shape that starts and ends at the same point?
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What begins and ends at the same point?

circle


What has the shape of a triangle?

A triangle is 3 lines or sides connected together at their ends. These lines are not always the same lengths.


How do you reflect a shape in a point?

Let's call the point of reflection O. Take any point on the shape. Draw a line from that point to O and extend it beyond O for the same length (so that O is the midpoint of this line). The far end of the line is the image of the original point. Repeat for every point and you have the reflection of the original shape. In actual fact, if the shape is a polygon, then you only need to reflect the vertices and join up their images. Well defined curves will form the same shape and it should not be too difficult to reproduce their reflection. However, with a random wriggly curve you have no choice but to map each point.


Is it true that a shape with rotational symmetry can be rotated around a point so that all of its characteristics are maintained?

It only has rotional symmetry if it can be rotated around a point less than 360 degrees and staying the same shape like if you rotate a square 90 degrees it will be the same shape as in the beginning.. Kind of confusing


Is a half line ab the same as half line ba?

No. A half line (also called a ray) is a linear object which starts at the first point, and extends to infinity through the second point. So the half-line (or ray) AB starts at point A, and shoots 'through' B and continues past B to infinity. The half-line BA is the other way around: it starts at point B, and then shoots 'through' A and continues past A to infinity. These two half-lines/rays end up extending to infinity in opposite directions, so they are not the same (not congruent).