Question

A sequence of transformations is described below. A reflection over a line \overleftrightarrow{PQ} PQ ​ P, Q, with, \overleftrightarrow, on top A rotation about the point PPP Another reflection over \overleftrightarrow{PQ} PQ ​ P, Q, with, \overleftrightarrow, on top A rotation about the point QQQ Which of the following must be preserved under this sequence of transformations? Choose 1 answer: Choose 1 answer: (Choice A) A Angle measures only (Choice B) B Segment lengths only (Choice C) C Both angle measures and segment lengths (Choice D) D Neither angle measures nor segment lengths

Answer 1

Answer:

The correct option is;

(Choice C) Both angle measures and segment lengths

Step-by-step explanation:

The given transformations are;

The reflection over the line, $\overleftrightarrow{PQ}$, with, A rotation about the point P. Another reflection over $\overleftrightarrow{PQ}$. A rotation about the point Q, we have;

The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions

Therefore, the correct option is,  both angle measures and segment lengths.