Answer:
Step-by-step explanation:
The question asks you to dilate the rectangle by a scale factor of 1/3.
KEY TERM:
Dilate by a scale factor: You make a shape bigger or smaller by multiplying by a number.
Here, we are dilating by a scale factor of 1/3. Therefore, to solve the problem, you have to multiply each coordinate by 1/3. Also, we are making the shape smaller because we are multiplying by a fraction.
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STEP 1: LINE UP ALL THE COORDINATE PAIRS
Point U: (-6,6)
Point R: (-6,-3)
Point T: (9,6)
Point S: (9,-3)
Now the easy part is done.
STEP 2: MULTIPLY BY 1/3
It is very important you know how to do this part because it determines the answer. So when i say "multiply by 1/3" i mean multiply each individual number by 1/3.
I'll explain for point u then do the rest:
Point U was originally: -6,6.
-6 x 1/3= -6/3= -2.
6x1/3= 6/3= 2
The "dilated" point U is: (-2,2). I multiplied each individual coordinate by 1/3, one by one.
Point R was originally: (-6,-3)
-6x1/3= -2
-3x1/3= -3/3= -1
The "dilated" point R is (-2,-1)
Point T was originally: (9,6)
9x1/3= 3
6x1/3= 2
The "dilated" point T is (3,2).
Point S was originally (9,-3).
9x1/3= 3
-3x1/3= -1
The "dilated' point S is (3,-1)
Finally, if you ever get confused about the order of the coordinates, it just stays the same. Like 9,-3 becomes the dilated 9 , dilated -3.
STEP 3: GRAPH THE NEW POINTS
see the screenshot, for reference :)
