Answered

Find detailed and accurate answers to your questions on IDNLearn.com. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

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

Sagot :

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

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.