Question

Which transformation preserves only angle measurement?

a. dilation
b. rotation
c. reflection
d. translation

Answer 1

The transformation that preserves only angle measurements is rotation. It maintains angles while moving the figure around a fixed point, unlike dilation, reflection, or translation which might preserve other properties in addition to angles.

Step-by-step explanation:

The transformation that preserves only angle measurement is rotation. Unlike dilation, which changes the size of the figures and therefore alters the lengths of sides while keeping angles the same, a rotation moves the figure around a fixed point (the center of rotation), preserving both angle measurements and the shapes of the figures. A reflection flips the figure over a line (the line of reflection) which preserves both angles and distances. Lastly, a translation slides the figure to a new position without changing its shape, angles, or sizes.

Answering related questions:

1. The rotational analog of distance is rotational angle.
2. In human movement at a condyloid joint, the type of motion that describes movement in a circular pattern is rotation.
3. Light and images can travel through a bent tube by the process of total internal reflection of light.
4. The rotational analog of linear velocity is angular velocity.