Question 6 How do the measures of the anges of polygon ABCD compare with those of the translated images? Based on your observation, what can you
condude about preservation of angle measurements during a translation?

The measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. This means that the angles of the  polygon are preserved as the figure is translated in any direction.

Step-by-step explanation:

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step-by-step explanation:

, 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