Mathematics, 18.07.2019 06:30 lil8174

Which theorem or postulate proves the two triangles are similar? a. sas theorem b. sa postulate c. sss theorem d. aa postulate

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Answer from: ltuthill

Similarity cannot be proven by side lengths. Only congruency can be proven by equal length sides. No matter how long 2 adjacent sides are in 2 different triangles, the angles between them can still be the same. So we are looking for a theorem or postulate involving angles only. We have an angle in each triangle given to us a being congruent to one another. We also have the fact that where those 2 intersecting lines cross there are vertical angles. So those by definition of vertical angles are also congruent. So we can prove them similar by AA.

Answer from: blackbetty79

For the diagram above, we have 2 angles that are equal. this makes AA.
Then we have two sides given to check the factor ratio.

So, form the choices given the correct answer is D. AA Postulate.

This means 2 angles from both triangles are equal and the ratio of sides is the same.
That is; 27/11 = 9/(11/3)

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

Which are the possible side lengths of a triangle?

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Which theorem or postulate proves the two triangles are similar? a. sas theorem b. sa postulate c....

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