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:

Step1: Recall properties of transformations

Rotations, translations, and reflections are rigid - motions. Rigid - motions preserve both angle measures and segment lengths.

Step2: Analyze the given sequence

The sequence consists of a rotation, two translations, and a reflection. All of these are rigid - motions.

Answer:

C. Both angle measures and segment lengths