Question

Figure RSTU is congruent to figure WXYZ. 9 8 Х 7 6 5 4 3 -W 2 LN -9 -8 -7 -6 5 4 -3 -2 -1 0 2 3 4 5 6 7 8 9 R S 4 3 -6 -7 UHT -9 Which set of transformations on figure RSTU must result in figure WXYZ? O a 180° clockwise rotation about the origin O a translation 6 units down and then a reflection across the y-axis O a reflection across the .r-axis and then a reflection across the v-axis clockwise rotation about the origin and then a reflection across the r-axis

Answer 1

Looking at the figure, the transformation on figure RSTU to give WXYZ is a rotation

For a 90 degrees rotation about the origin, the coordinate, (a, b) would become (b, - a)

Looking at the images

RSTU is transformed to WXYZ

We would compare the coordinates of corresponding points

Take point U on RSTU and point Z on WXYZ,

coordinate of U = (2, - 6)

Coordinate of Z = (-6, 2)

A 90 degrees rotation about the origin would result in Z(- 6, - 2)

There is also a reflection across the x axis. This means that the sign of the y coordinate would be reversed. This makes the coordinate at Z to be (- 6, 2)

Therefore, the correct option is

A 90 degrees clockwise rotation about the origin and then a reflection across the x axis