The complete question is:
Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.
Is there a series of rigid transformations that could map ΔRST to ΔXYT? If so, which transformations could be used?
- No, ΔRST and ΔXYT are congruent but ΔRST cannot be mapped to ΔXYT using a series of rigid transformations.
- No, ΔRST and ΔXYT are not congruent.
- Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
- Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so that R is mapped to X.
Answer:
- Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
Explanation:
As per the given information, surely, there is a sequence of firm/rigid transformations in order to map Δs from the ΔRST to ΔXYT. This is because the reflection would assist in reflecting the ΔRST over the line having RT. Thereafter, the rotation would assist in rotating the triangle around T in order to successfully plot S to Y. These transformations allow the alteration of the inclination of shape without affecting its shape. Thus, it is possible in the given situation.
