Karen notices that segment bc and segment ef are congruent in the image below: two triangles are shown, abc and def. a is at negative 2, 2. b is at negative 2, 4. c is at 0, 3. d is at 2, 1. e is at 2, 3. f is at 0, 2. angles c and f are shown as congruent. which step could her determine if δabc ≅ δdef by sas?

Givens:

Using this information we could recur to SAS postulate to demonstrate the congruence of this pair of triangles. We already have one side and one angle congruent, we just need to demonstrate that , that will prove the complete congruence.

So, based on the given coordinates, we're able to calculate the length of each side and find if they are the same. We use this formula:

Therefore, , because they have the same length.

Now, based on these congruences:

We demonstrate by the Side-Angle-Side (SAS) postulate that ΔABC ≅ ΔDEF.

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.

898.1666667

step-by-step explanation:

5389/6 = 898.1666667