Question

PLEASE PLEASE HELP YA'LL 3RD TIME POSTING AND REALLY NEED HELP!!!! NO LINKS ALLOWED!!

What are the resulting coordinates of triangle X′Y′Z′ after rotating triangle XYZ counterclockwise 90° about the origin? Question options:
A) X′ (1, 1), Y′ (1, 4), Z′ (–4, 4)
B) X′ (1, 1), Y′ (4, 1), Z′ (4, 4)
C) X′ (1, 1), Y′ (1, 4), Z′ (4, 4)
D) X′ (–1, 1), Y′ (1, 4), Z′ (4, –4)

Answer 1

its c i got it right on my test!

Answer 2

C

Explanation:

Rotation 90 degrees counter clockwise rule (x,y) -----> ( -y , x )

In order to find the answer we must first find the coordinates of the pre image

The coordinates are...

x (1,-1)

y (4,-1)

z (4,-4)

Now we apply the rule stated previously

( The rule explanation: the x and y values swap and the y values sign changes. So if the y value was previously positive, after a 90° counter clockwise rotation, the y value will then be negative)

x (1,-1) -----> swap x and y values ( -1,1) ------> flip sign of new x value ( 1 , 1 )

y (4,-1) ------> swap x and y values ( -1,4) -----> flip sign of new x value ( 1 , 4 )

z (4,-4) -----> swap x and y values ( -4,4) ------> flip sign of new x value ( 4,4)

the new coordinates are X' (1,1) , Y' (1,4) , Z (4,4)

Hence the answer is C