Question

a sequence of transformations is described below.

• a rotation about a point ( p )
• a translation
• a reflection over a line ( overleftrightarrow{qr} )
• another translation

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:

Rotation, translation, and reflection are all rigid transformations. Rigid transformations preserve both angle measures and segment lengths. So regardless of the sequence of these transformations, both angle measures and segment lengths remain unchanged.

Answer:

C. Both angle measures and segment lengths