50 points which theorem or postulate proves that △abc and △def are similar? select from the drop-down menu to correctly complete the statement. choices: sss similarity postulate aa similarity postulate sas similarity postulate

AA similarity postulate

Step-by-step explanation:

These are similar by the AA similarity postulate.  There are two angles that are similar and since we know 2 angles in a triangle, we can determine the third angle.  Since all three angles are similar,  the triangles are similar.

, 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

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.