Triangle QRS is translated 7 units right, then rotated 90 degrees clockwise about the origin. The vertices of triangle Q"R"S" are Q" (6, - 1), R" (0, - 1), and S" (0, - 7). Determine the coordinates of triangle QRS

Question

Mathematics

Annabelle

23 March, 01:24

Triangle QRS is translated 7 units right, then rotated 90 degrees clockwise about the origin. The vertices of triangle Q"R"S" are Q" (6, - 1), R" (0, - 1), and S" (0, - 7). Determine the coordinates of triangle QRS

+3

Answers (1)

Know the Answer?

Felix Davila · Answer 1

Q (-6.6), R (-6.0), S (0.0)

Step-by-step explanation:

In the exercise we are asked to find the original coordinates with the given transforms, which means that we must apply the inverse of the indicated transformations.

Original coordinates: Q " (6, - 1), R" (0, - 1) and S " (0, - 7)

When turning 90 ° counterclockwise, since we want the opposite, the following change occurs (the axes and the sign are inverted):

Q ' (1.6), R' (1.0), S ' (7.0)

Now we have to move to the left by 7 units, because it is the opposite of the right, only on the x axis, 7 is subtracted

Q (-6.6), R (-6.0), S (0.0)