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Reflect triangle \(ABC\) over the line \(x=\text-3\).
Translate the image by the directed line segment from \((0,0)\) to \((4,1)\).
What are the coordinates of the vertices in the final image?
Three line segments form the letter N. Rotate the letter N counterclockwise around the midpoint of segment \(BC\) by 180 degrees. Describe the result.
Triangle \(ABC\) has coordinates \(A (1, 3), B (2,0),\) and \(C (4,1).\) The image of this triangle after a sequence of transformations is triangle \(A’B’C’\) where \(A’ (\text-5,\text-3), B’ (\text-4,0),\) and \(C’ (\text-2,\text-1).\)
Write a sequence of transformations that takes triangle \(ABC\) to triangle \(A’B’C’\).
Two triangles in coordinate plane. Green triangle has point A at negative 5 comma negative 3, point B at negative 4 comma 0, point C at negative 2 comma negative 1. Blue triangle has point A at 1 comma 3, point B at 2 comma 0, point C at 4 comma 1.
Show using transformations or segment lengths that triangle \(ABC\) is congruent to triangle \(DEF\).
This design began from the construction of an equilateral triangle. Record at least 3 rigid transformations (rotation, reflection, translation) that take parts of the diagram to congruent parts of the diagram.
Equilateral Triangle D E F and three small congruent circles, centers A B and C. Take every triangle edge and replace its middle third with a circle. Line segment D F passes through Points A, L and K, with L and K on the circle. Line segment E F passes through Points C, I and J, with I and J on the circle. Line segment D E passes through Points B, G and H, with G and H on the circle.