What set of reflections would carry rhombus abcd onto itself?
Asked by maham237 @ in Mathematics viewed by 485 People
y-axis, x-axis, y-axis
x-axis, y-axis, y-axis
y=x, x-axis, y=x, y-axis
x-axis, y=x, x-axis, y=x
Asked by maham237 @ in Mathematics viewed by 485 People
y-axis, x-axis, y-axis
x-axis, y-axis, y-axis
y=x, x-axis, y=x, y-axis
x-axis, y=x, x-axis, y=x
Answered by maham237 @
So for the rhombus to carry onto itself, it needs to start in one position and end up in that same position. In this case, (x,y) will need to end up on (x,y) after the reflections are done. Here what the options do:
A: y-axis, x-axis, y-axis
(x,y) -> (-x,y) -> (-x,-y) -> (x,-y)
B: x-axis, y-axis, y-axis
(x,y) -> (x,-y) -> (-x,-y) -> (x,-y)
C: y=x, x-axis, y=x, y-axis
(x,y) -> (y,x) -> (y,-x) -> (-x,y) -> (x,y)
D: x-axis, y=x, x-axis, y=x
(x,y) -> (x,-y) -> (-y,x) -> (-y,-x) -> (-x,-y)
The only option that starts as (x,y) and ends as (x,y) is C: y=x, x-axis, y=x, y-axis, therefore making that the correct answer.
Asked by maham237 @ in Mathematics viewed by 348 persons
Asked by wiki @ in Mathematics viewed by 288 persons
Asked by maham237 @ in Mathematics viewed by 386 persons
Asked by maham237 @ in Mathematics viewed by 285 persons
Asked by maham237 @ in Mathematics viewed by 275 persons
Asked by wiki @ in Mathematics viewed by 410 persons
Asked by admin @ in Math viewed by 299 persons
Asked by maham237 @ in English viewed by 1133 persons
Asked by maham237 @ in Mathematics viewed by 370 persons
Asked by admin @ in Math viewed by 252 persons
Asked by admin @ in Math viewed by 239 persons
Asked by admin @ in Math viewed by 331 persons
Asked by admin @ in Math viewed by 276 persons
Asked by wiki @ in Mathematics viewed by 467 persons
Asked by maham237 @ in Mathematics viewed by 376 persons
Asked by maham237 @ in Mathematics viewed by 18350 persons
Asked by admin @ in Mathematics viewed by 8155 persons
Asked by admin @ in Mathematics viewed by 5772 persons
Asked by maham237 @ in Mathematics viewed by 3931 persons
Asked by maham237 @ in Mathematics viewed by 3248 persons
Asked by maham237 @ in Mathematics viewed by 2920 persons
Asked by maham237 @ in Mathematics viewed by 2787 persons
Asked by maham237 @ in Mathematics viewed by 2576 persons
Asked by maham237 @ in Mathematics viewed by 2476 persons
Asked by maham237 @ in Mathematics viewed by 2425 persons
Asked by maham237 @ in Mathematics viewed by 2415 persons
Asked by maham237 @ in Mathematics viewed by 2070 persons
Asked by maham237 @ in Mathematics viewed by 1792 persons