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Figure R = figure R". Describe a sequence of three transformations you canperform on figure R to show this. Show your work.

Figure R = figure R". Describe a sequence of three transformations you canperform-example-1
User Traveler
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2.4k points

1 Answer

19 votes
19 votes

1) Rotate the figure 90º clockwise.

To rotate a figure 90º clockwise you have to perform the following transformation:

(x,y)→(y,-x)

So for each point of the figure you have to swich places between x and y.

And you have to multiply the x coordinate by -1.

R has 6 points:

(-4,-5)

(-7,-5)

(-7,-4)

(-5,-4)

(-6,-3)

(-2,-2)

First step: swich places between the coordinates of each point:

(x,y) → (y,x)

(-4,-5)→(-5,-4)

(-7,-5)→(-5,-7)

(-7,-4)→(-4,-7)

(-5,-4)→(-4,-5)

(-6,-3)→(-3,-6)

(-2,-2)→(-2,-2)

Second step, multiply the y-coordinate of the new set by -1

(y,x)→ (y,-x)

(-5,-4)→ (-5,4)

(-5,-7)→ (-5,7)

(-4,-7)→ (-4,7)

(-4,-5)→ (-4,5)

(-3,-6)→ (-3,6)

(-2,-2)→ (-2,2)

After the rotation, the figure moved from the 3rth quadrant to the 2nd quadrant.

User MrAndre
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3.0k points