Consider the following statement: "If four points form the corners of a square, their images after an isometry will also form a square." This statement is:
A) always true.
B) sometimes true, depending on the isometry.
C) never true.

Question

Quizplus · Accepted Answer

An isometry preserves distances and angles, so if the four points form a square (i.e. all sides and angles are equal), then their images under any isometry will also have equal sides and angles, forming a square. Therefore, the statement is always true.

Consider the Following Statement: "If Four Points Form the Corners