Question

properties of transformations
quiz complete
1 2 3 4
the rectangle was rotated 360° around its center,
point c. vertex d traces the path of a circle and lands
back upon itself
which best explains why the rotation represents an
isometric transformation?
the angle at point d remained a right angle
the rectangle did not change shape or size
point c remained the center of the rectangle
point c did not remain the center of the rectangle

Explanation:

An isometric transformation (also known as a rigid transformation) is a transformation that preserves the shape and size of a figure. When a rectangle is rotated \(360^{\circ}\) around its center, the key property that makes it an isometric transformation is the preservation of the rectangle's shape and size.

• The angle at point \(D\) remaining a right - angle is just one aspect of the shape preservation. A single - angle preservation does not fully explain the isometric nature.
• Point \(C\) remaining the center is related to the center of rotation, not the isometric property.
• Point \(C\) not remaining the center is incorrect as it contradicts the rotation around point \(C\).

Answer:

The rectangle did not change shape or size.