Apentagon is transformed according to the rule r0, 180°. which is another way to state the transformation?
a (x, y) → (–x, –y)
b (x, y) → (–y –x)
c (x, y) → (x, –y)
d (x, y) → (–x, y)

A. (x,y) > (-x,-y)

Explanation:

R0 means that the rotation is about the origin point

Therefore, (R0,180) would mean that we are rotating the figure 180° about the origin

This rotation implies the following:

x-coordinate of the image has the same value but opposite sign as the x-coordinate of the original picture > x' = -x

y-coordinate of the image has the same value but opposite sign as the y-coordinate of the original picture > y' = -y

Combining the above statements, we would reach the following:

(x,y) > (-x,-y)

Examples:

(1,2) > Rotation (R0,180) > (-1,-2)

(-1,2) > Rotation (R0,180) > (1,-2)

(1,-2) > Rotation (R0,180) > (-1,2)

(-1,-2) > Rotation (R0,180) > (1,2)

Hope this helps :)

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step-by-step explanation:

tyty jry j y yj yttj yhgtyj y ghyj ytthj

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.