Question

9:46 pm tue oct 14
20%
1 practice 1
e rotate 180° around point c, translate by directed line segment ce, and reflect across segment ef.
f reflect across segment ab, rotate clockwise by angle bfe using center f, then reflect across segment ef.
2 practice 5 (from unit 1, lesson 17)
triangle abc is congruent to triangle abc.
describe a sequence of rigid motions that takes a to a, b to b, and c to c.

Explanation:

A possible sequence of rigid - motions could be a translation that moves one of the vertices (say \(A\)) to its corresponding vertex \(A'\). Then, a rotation around the new position of \(A\) (i.e., \(A'\)) to align the sides and angles correctly. Rigid motions preserve distance and angle measures, which is necessary for congruent triangles.

Answer:

First, translate triangle \(ABC\) so that point \(A\) coincides with \(A'\). Then, rotate the translated triangle around point \(A'\) so that the sides and angles of the triangle match those of triangle \(A'B'C'\).