Apolygon is drawn and then reflected over the line as shown in the diagram. which statement is true?
a) the two polygons are congruent because all polygons are congruent.
b) the two polygons are not congruent because a reflection changes side length.
c) the two polygons are not congruent because a reflection changes angle measures.
d) the two polygons are congruent because a reflection does not change size and shape.

The answer is:

D. The two polygons are congruent because a reflection does not change size and shape.

Explanation:

A reflection is a rigid transformation so it does not change size or shape or just changes orientation.

The two polygons are congruent because a reflection does not change size and shape.

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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.