Question

Select the most appropriate true statement.

A) A dilation can only enlarge a figure.
B) Rigid transformation maintains the same size, shape, and angle measurement.
C) When you dilate an angle measurement, you multiply the angle measurement by the scale factor to get the new angle measurement.
D) The angle measurements of a dilated figure are not congruent to the angle measurements of the original figure.

Answer 1

The correct statement is that rigid transformations maintain the same size, shape, and angle measurement, indicating that they do not alter the figure except for its position.

Step-by-step explanation:

The most appropriate true statement from the choices provided is: B) Rigid transformations maintain the same size, shape, and angle measurement. This means that during a rigid transformation, also known as an isometry, the pre-image and the image remain congruent; there is no alteration in the size or shape of the figure, and all corresponding angles remain equal.

In contrast, a dilation, which is not a rigid transformation, can either enlarge or reduce the size of a figure while maintaining the same shape; thus, statement A is incorrect. Statement C is incorrect because angle measurements are invariant under dilation, and statement D is incorrect because even after dilation, the angle measurements remain congruent; only the lengths of sides change proportional to the scale factor.