Which of the following statements is true of all translations?

a. all side positions remain the same
b. all corresponding vertex positions in a figure and its translation remain the same
c. all angle measures increase
d. all corresponding sides in a figure and its translation are parallel

D. all corresponding sides in a figure and its translation are parallel

Step-by-step explanation:

In geometry, A translation is a rigid motion that is used to trace a function that moves an object a particular distance.

i.e. position of sides and vertices changes.

Properties of translation are :

Corresponding line segments have same length.

Corresponding angles have same measure.

Corresponding line segments are parallel.

Pre-image and image are congruent.

Hence, the true statement for translation :

D. all corresponding sides in a figure and its translation are parallel

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.