Determine whether the triangles are congruent by sss sas asa aas hl

  SSS

Step-by-step explanation:

SSS congruence postulate: If all the three sides of one triangle are equivalent to the corresponding three sides of the another triangle, then the two triangles are congruent.

In the given figure, we have

ΔPQR and ΔPQS such that

PQ = PQ      [common]

PR= PS         [Given]

RQ = QS      [Given]

By SSS congruence postulate,

ΔPQR ≅ΔPQS

So, the right choice : "SSS"

, 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:

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