If triangle ABC is rotated 180 degrees, reflected over the y‐axis, and reflected over the x‐axis, where will point A' lie? (5, −4)
(4, −5)
(−4, 5)
(−5, 4)

A'(-5, 4)

Step-by-step explanation:

Point A has coordinates of (-5, 4)

Rotation 180 degrees:

Both coordinates change sign to opposite(-5, 4) → (5, -4)

Reflection over y-axis:

x-coordinate changes sign to opposite(5, -4) → (-5, -4)

Reflection over x-axis:

y-coordinate changes sign to opposite(-5, -4) → (-5, 4)

So final point is A'(-5, 4), same as initial point

Explanation:

Point A has a coordination of ( -5, 4 )

By changing the signs of point A to it's opposite or by rotating it to 180°, we get

A' ( 5, -4 )

By reflecting over the y-axis, we get

A' (5, 4 )

By reflecting over the x-axis, we get

A' (-5 , 4 )

The point A' will lie on ( -5, 4 ) .

The shelves will hold 270 books in total

The answer is 4 points