Question

a sequence of transformations is described below:

• a rotation about a point p
• a translation
• a reflection over a line 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 under this sequence of transformations (which are all rigid), both angle measures and segment lengths must be preserved.

Answer:

C. Both angle measures and segment lengths