Question
Determine which translations would map Figure Q onto Figure R. Press "try" to test a translation or sequence of translations. A translation square square units and square square units.
Answer
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(185 Votes)
Amber
Veteran · Tutor for 11 years
Answer
To determine the translation that would map Figure Q onto Figure R, we need to compare the coordinates of corresponding points in both figures and calculate the horizontal and vertical distances we need to move Figure Q to align it with Figure R.Let's take the first point of each figure and calculate the translation needed.For Figure Q, we have the point (0,-6).For Figure R, we have the point (-2,6).To translate the point (0,-6) to (-2,6), we need to calculate the change in the x-coordinate and the change in the y-coordinate.Step 1: Calculate the change in the x-coordinate (horizontal translation).Change in x = x-coordinate of Figure R - x-coordinate of Figure QChange in x = (-2) - (0) = -2Step 2: Calculate the change in the y-coordinate (vertical translation).Change in y = y-coordinate of Figure R - y-coordinate of Figure QChange in y = (6) - (-6) = 6 + 6 = 12Therefore, the translation that would map the point (0,-6) of Figure Q onto the point (-2,6) of Figure R is 2 units to the left (negative direction on the x-axis) and 12 units up (positive direction on the y-axis).To ensure that this translation is correct for the entire figure, we should check that the same translation works for the other points as well. However, since we are only given one pair of corresponding points, we will assume that the figures are congruent and that this translation will work for all points.Final Answer: The translation that would map Figure Q onto Figure R is 2 units left and 12 units up.