Question

course challenge
google classroom microsoft teams
a sequence of transformations is
described below.

• a reflection over a line ( overleftrightarrow{pq} )
• a rotation about the point ( p )
• a 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

Reflection, rotation, and translation are all rigid transformations. Rigid transformations preserve both angle measures and segment lengths.

Step2: Analyze each transformation

• Reflection: Preserves angle measures and segment lengths.
• Rotation: Preserves angle measures and segment lengths.
• Translation: Preserves angle measures and segment lengths.

Since all three transformations in the sequence are rigid, they will preserve both angle measures and segment lengths.

Answer:

C. Both angle measures and segment lengths