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Flag semaphore is a way to use flags to signal messages. The diagrams show how to signal the letters Z and J in the semaphore alphabet. For each, precisely describe a rotation that would take the left-hand flag (L) to the right-hand flag (R).
Z
J
Quadrilateral A B C D and points R and Q plotted on square grid. Point R is one unit to the left of Point A. Point Q is one unit below Point A. A B and C D are both 3 units long.
Quadrilateral H J K L M N and Points P and O on an isometric grid. Points O and P are below and to the right of the Quadrilateral. Points O, N and K are on the same diagonal grid line. Points M, L and P are on the same vertical grid line.
Mai suspects triangle is congruent to triangle . She thinks these steps will work to show that there is a rigid transformation from to .
Draw each image, and determine the angle of rotation needed for these steps to take to .
The three rigid motions are reflect, translate, and rotate. Each of these rigid motions can be applied to any figure to create an image that is congruent. To do a rotation, we need to know three things: the center, the direction, and the angle.
Rotate 90 degrees clockwise around point .
Rotate 120 degrees counterclockwise around point .