Hot Student Stories

What set of reflections would carry hexagon ABCDEF onto itself? a. y=x, x-axis, y=x, y-axis b. x-axis, y=x, x-axis, y=x c. y-axis, x-axis, y-axis d. x-axis, y-axis, y-axis Download gif

Kevin Sutter

in Mathematics

1 answer

1 answer

Kevin Sutter on January 12, 2018

Answer: option a. y=x, the x-axis, y=x, the y-axis.Explanation:1) Take a general point with coordinates (a,b)2) Reflect about the line y = x translates to (b,a)3) Reflect (b,a) on the x-axis is translated to (b-a)4) to Reflect (b-a) y = x translate (-a,b)5) to Reflect on (-a,b) on the y-axis and translates it to (a,b)therefore, the set of reflections that have been translated in (a,b) in the same place (a,b), concluding that the set of reflections leads the hexagon ABCDEF onto itself.

Add you answer