406,635 views
34 votes
34 votes
The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?

User Arijit Mukherjee
by
3.2k points

2 Answers

22 votes
22 votes

Final answer:

The sequence of rigid motions to map triangle XYZ onto triangle BCA could involve translations, rotations, and reflections, depending on the relative positions and orientations of the triangles.

Step-by-step explanation:

To find which sequence of rigid motions will map triangle XYZ onto triangle BCA, we would consider transformations such as translations, rotations, and reflections. Since the triangles are congruent, we could use a combination of these motions to superimpose one triangle onto the other. One possible sequence could be a translation that aligns one vertex of XYZ with the corresponding vertex of BCA, followed by a rotation around that vertex until the sides align, and finally, a reflection may be needed if the orientation of the triangles is different. Without a specific figure to reference, we cannot provide an exact sequence, but understanding these motions can help us determine the sequence for a given pair of congruent triangles.

User Zword
by
3.0k points
23 votes
23 votes

we have that

1) translate XYZ alog vector YC

2) Rotate X'Y'Z' around C by angle BCX'

3) Reflect X"Y"Z" over CB

therefore

answer is the first option

s

User Onosa
by
2.8k points