Triangle abc has been translated to create triangle a′b′c′. which of the following statements is true?

Step-by-step explanation:

The complete question in the attached figure

we know that

A translation is a rigid transformation that not produces change in the size or in the shape of a figure

so

The pre-image of the figure is congruent with the image after a translation

Remember that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

so

and

therefore

if

then

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

.95

step-by-step explanation: