What set of reflections would carry triangle abc onto itself? triangle abc on the coordinate plane with point a at 1, 2, point b at 2, 4, and point c at 3, 0.

y-axis,  x-axis , y-axis and x-axis

Step-by-step explanation:

Given : In triangle ABC

The coordinates are

A = (1,2) , B=(2,4) and C =(3,0)

Rule of reflection:

*Reflecting a point (x, y) across the y-axis will map it to (-x, y).

*Reflecting a point (x, y) across the x-axis will map it to (x, -y).

If you do a reflection on coordinate point A = (1,2)  across y-axis we get

then, reflecting a point (-1 , 2) across x -axis we get, (-1, -2)

then, reflecting a point (-1 , -2) across y-axis we get, (1 , -2)

and

reflecting a point (1, -2) across x- axis we get the result same i.e, A =(1,2)

Similarly,

For B = (2,4) across y-axis (-2, 4) across x- axis  (-2, -4) across y -axis (2 , -4) across x axis  ( 2, 4) = B

for C = (3, 0) across y-axis (-3, 0) across x- axis  (-3, 0) across y -axis (3 , 0) across x axis  (3, 0) = C

Therefore, the set of reflection would carry triangle ABC onto itself is:

y-axis,  x-axis , y-axis and x-axis

b

step-by-step explanation: