triangle abc is reflected across the x-axis, and then across the y-axis. which rotation is equivalent to this composition of transformations?
a) 45 degree rotation
eliminate
b) 90 degree rotation
c) 180 degree rotation
d) 360 degree rotation

C) 180 degree rotation

Step-by-step explanation:

While reflecting a point, with coordinates as (x, y), over x axis the new co-ordinates become (x, -y)

⇒(x, y) → (x, -y)

While reflecting a point, with coordinates as (x, y), over y axis the new co-ordinates become (-x, y)

⇒(x, y) → (-x, y)

So, when these two operations are combined, they the rule followed is,

⇒(x, y) → (-x, -y)

We also know that while rotating a point, with coordinates as (x, y), 180° the new co-ordinates become (-x, -y)

⇒(x, y) → (-x, -y)

Therefore, reflecting a point over x axis and then over y axis will yield the same result as rotating a point 180°.

step-by-step explanation: