Question

a sequence of transformations is described below. - a translation - a dilation about a point ( p ) - another translation - a rotation about the point ( p ) which of the following must be preserved under this sequence of transformations? choose 1 answer: a angle measures only b segment lengths only c both angle measures and segment lengths d neither angle measures nor segment lengths

Explanation:

1. Analyze each transformation:

• Translations: Preserve both angle measures and segment lengths (rigid transformations).
• Dilation: Changes segment lengths (non - rigid, scales lengths) but preserves angle measures (since it's a similarity transformation).
• Rotation: Preserve both angle measures and segment lengths (rigid transformation).

1. Overall effect: Since dilation changes segment lengths but preserves angle measures, and translations/rotation preserve both, the only thing that is always preserved (through all these transformations) is angle measures. Segment lengths are changed by dilation.

Answer:

A. Angle measures only