Given ΔUTS with coordinates U(-4,-3), T(-2,1), S(0,-2), rotate the figure 90° Counterclockwise about the origin Question 8 options:

U'(-2,1) T'(-4,-2) S'(0,0)

U'(4,3) T'(2,-1) S'(0,2)

U'(3,-4) T'(-1,-2) S'(2,0)

U'(-2,-2) T'(0,2) S'(2,-1)

U'(3,-4) T'(-1,-2) S'(2,0)

Step-by-step explanation:

Firstly, we need the general rotation method

We have this as;

(x,y) to (-y,x)

So;

U (-4,-3) becomes U’ (3,-4)

T(-2,1) becomes T’(-1,-2)

S(0,-2) becomes S’ (2,0)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: