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Which of the following transformations will make ray BA coincide with ray B'A'?
A. Reflection across the x-axis
B. Reflection across the y-axis
C. Clockwise 90 rotation around the point B
D. Counterclockwise 90 rotation around the point B

Option B. Reflection across the y-axis

Step-by-step explanation:

As shown at the graph:

A(-4,0) , B(0,0) , A'(4,0) , B'(0,0)

We can note that B and B' are coincide

So, we need to find which transformations make A coincide with A'

A. Reflection across the x-axis ⇒ Wrong

Because it will give the same point A

B. Reflection across the y-axis ⇒ True

The rule of reflection across the y-axis (x,y)→(-x,y)

So, A(-4,0) → A'(4,0)

Both of C. Clockwise 90 rotation around the point B

             D. Counterclockwise 90 rotation around the point B

Are Wrong because it will make the image of A lies on y-axis.

So, The answer is option B

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3