Question

Trapezoid EFGH has been rotated 180 degrees around the origin and then relfected across the Y- axis. Which of the following transformations would return the trapezoid to its original prosition?

Answer 1

Will medal can somone help me

Answer 2

@Vocaloid

Answer 3

mathmate do u need the answer choices

Answer 4

@welshfella

Answer 5

@jabez177

Answer 6

yah one sec sir

Answer 7

reflection across the line y=x

Answer 8

reflection across the x axis

Answer 9

reflection across the y axis

Answer 10

rotation of 180 defrees around the origin

Answer 11

there u go sir

Answer 12

math mate do u know

Answer 13

\(R_{180}(x,y)->(-x,-y)\) [rotation through 180 degrees]
\(S_y(x,y)->(-x,y)\) [ reflection about the y-axis]
\(S_x(x,y)->(x,-y)\) [ reflection about the x-axis]
\(S_{y=x}(x,y)->(y,x)\) [reflection about the line y=x]
Try to put through a scenario of a point starting with (x,y) and go through the transformations of
rotation through 180 degrees -> (-x,-y)
then reflection about y-axis -> (-(-x),-y)=(x,-y)
Now you need a transformation that brings (x,-y) back to (x,y)