This design began from the construction of a regular hexagon. Name 2 pairs of congruent figures.
Hexagon A B C D E F. Vertical line segments B D and A E are drawn. Diagonal line segment C G is drawn, with G on line B D, creating triangles B C G and C D G . Diagonal line segment F H is drawn, with H on line A E, creating triangles E F H and A F H.
Problem 2
This design began from the construction of a regular hexagon. Describe a rigid motion that will take the figure to itself.
Draw the image of figure \(CAST\) after a clockwise rotation around point \(T\) using angle \(CAS\) and then a translation by directed line segment \(AS\).
Describe another sequence of transformations that will result in the same image.
There is a sequence of rigid transformations that takes \(A\) to \(A’\), \(B\) to \(B’\), and \(C\) to \(C’\). The same sequence takes \(D\) to \(D’\). Draw and label \(D’\) below:
Which segment is the image of \(HI\) when rotated \(180^\circ\) counterclockwise around point \(P\)?
5 segments on a grid, with Point P in the center. H I, horizontal, length 3, bottom left. F G, vertical, length 3, top left. On the right of F G, E D, slanting up and to the right. A B and B C, create right angle at B. A B, horizontal, length 3, top right. B C, vertical, length 3.
Draw the image of figure \(ACTS\) after a clockwise rotation around point \(C\) using angle \(CTS\) and then a translation by the directed line segment \(CT\).
Describe another sequence of transformations that will result in the same image.