Math  /  Geometry

QuestionFigure BB is in Quadrant IV. After reflecting, rotating, and translating it, determine if these statements are true or false:
a. BB''' is in Quadrant II. b. BB is in Quadrant III. c. The xx-coordinates of BB''' are all negative. d. The yy-coordinates of BB'' are all positive.
Initial position and shape of BB are needed.

Studdy Solution
Now, let's evaluate each statementa. Figure BB''' is in Quadrant II.Since the xx-coordinates are negative and the yy-coordinates are positive, Figure BB''' is indeed in Quadrant II. Therefore, this statement is true.
b. Figure BB is in Quadrant III.
This statement is false. As per our assumption, Figure BB is in Quadrant IV.
c. The xx-coordinates for the vertices of BB''' are all negative.
Since Figure BB''' is in Quadrant II, where xx-coordinates are negative, this statement is true.
d. The yy-coordinates for the vertices of BB'' are all positive.
Since Figure BB'' is in Quadrant II, where yy-coordinates are positive, this statement is true.

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