HELP PLS DUE TOMORROW WILL GIVE BRAINLIEST what information is necessary to prove the triangles congruent by SSS, and what information is necessary to prove the triangles congruent by HL? show work pls

SSS: LM = AB and MN = AC

HL: AC = MN

Step-by-step explanation:

✔️Information that is necessary to prove that both triangles are congruent by SSS are:

LM = AB

MN = AC

This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.

✔️Information necessary to prove that the triangles are congruent by HL:

We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:

AC = MN

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: