Question

question 5 of 10

which of the following does not describe a rigid motion transformation?

a. rotating a figure 90 degrees
b. translating a figure 2 units left
c. reflecting a figure across the \\(x\\)-axis
d. dilating a figure by a scale factor of one half

Explanation:

Define rigid motion transformations

Rigid motions (isometries) preserve distance and angle measures, keeping the size and shape of the figure exactly the same. These include translations, rotations, and reflections.

Analyze the given options

• A. Rotating a figure 90 degrees: Rotation is a rigid motion because it preserves size and shape.
• B. Translating a figure 2 units left: Translation is a rigid motion because it preserves size and shape.
• C. Reflecting a figure across the x-axis: Reflection is a rigid motion because it preserves size and shape.
• D. Dilating a figure by a scale factor of one half: Dilation changes the size of the figure, so it does not preserve distance and is not a rigid motion.

Identify the correct choice

Since dilation changes the size of the figure, option D does not describe a rigid motion transformation.

Answer:

• A. Rotating a figure 90 degrees
• B. Translating a figure 2 units left
• C. Reflecting a figure across the x-axis
• D. Dilating a figure by a scale factor of one half (Correct answer)