Unit 1, Lesson 18
Practicing Point-by-Point Transformations
Geometry
Practice
Problem 1
The figures are congruent. Select all the sequences of transformations that would take Figure 1 to Figure 2.
Congruent triangles, Figure 1 and Figure 2, on a square grid. Figure one, triangle A B C. B C is 2 units long, Point B faces to the right, Point C faces to the left, Point A faces down. Figure two, triangle D E F. E F 2 units long, Point E faces to the right, Point F faces to the left, point D faces down. Point D is 2 units below and 2 units to the right of Point A. Point F is 2 units below and 2 units to the right of Point C. Point E is 2 units below and 2 units to the right of point B.
Translate by directed line segment \(AD\).
Rotate 180 degrees around point \(E\).
Translate by directed line segment \(AE\), and reflect across \(AC\).
Translate by directed line segment \(CE\), and rotate 90 degrees counterclockwise around point \(E\).
Rotate 180 degrees around point \(C\), translate by directed line segment \(CE\), then reflect across segment \(EF\).
Reflect across segment \(AB\), rotate clockwise by angle \(BFE\) using center \(F\), then reflect across segment \(EF\).