The square below is transformed by an isometry. Which of the following statements is NOT necessarily true?
A) The distance between vertex A and vertex B remain the same after transformation.
B) Vertices A, B, C, and D still form a square after transformation.
C) Vertex A is still above vertex D after transformation.
D) Vertex A is still adjacent to vertex D after transformation.

Question

The square below is transformed by an isometry. Which of the following statements is NOT necessarily true? 
A) The distance between vertex A and vertex B remain the same after transformation. 
B) Vertices A, B, C, and D still form a square after transformation. 
C) Vertex A is still above vertex D after transformation. 
D) Vertex A is still adjacent to vertex D after transformation.

Quizplus · Accepted Answer

The isometry could potentially flip or rotate the square, causing vertex A to be below vertex D after the transformation. Therefore, statement C is NOT necessarily true.

The Square Below Is Transformed by an Isometry