Angle abc is formed by segments ab and bc on the following coordinate grid: a coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. a line segment ab is shown with a as ordered pair 1, negative 1 and b as ordered pair 5, negative 4. another line segment bc is shown with c as ordered pair 1, negative 4. angle abc is rotated 90 degrees counterclockwise about the origin to form angle a'b'c'. which statement shows the measure of angle a'b'c'? a) m∠ a'b'c' = 90 degrees b) m∠ a'b'c' = m∠abc c) m∠ a'b'c' = 180 degrees d) m∠ a'b'c' = 2 ⋅ m∠abc

Option: B is the correct answer.

                B) m∠ A'B'C' = m∠ABC

We are given coordinates of Point A,B and C as:

A(1,-1) , B(5,-4) and C(1,-4)

Since, on rotating the points 90 degree counterclockwise about the origin the rule that holds for this transformation is:

(x,y) → (-y,x)

Hence,

A(1,-1) → A'(1,-1)

B(5,-4) → B'(4,-5)

C(1,-4) → C'(4,-1)

As we know that the rotation is a rigid transformation that is the shape and size of the figure is preserved.

Also, the angle measure remains the same.

                Hence, m∠ABC=m∠A'B'C'

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

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step-by-step explanation: