Question

Trapezoid PQRS is similar to trapezoid PꞌꞌQꞌꞌRꞌꞌSꞌꞌ.

Which transformations were performed on trapezoid PQRS to form trapezoid PꞌꞌQꞌꞌRꞌꞌSꞌꞌ? All dilations have a center of dilation at the origin and all rotations are around the origin.

https://static.k12.com/calms_media/media/1574000_1574500/1574244/1/a589eeba804dea4927a0ce4815b39c4db01431c0/MS_IMC-141230-111002.jpg

A. PQRS was dilated by a scale factor of 4 and then rotated 180° clockwise to form PꞌꞌQꞌꞌRꞌꞌSꞌꞌ.

B. PQRS was dilated by a scale factor of 1/4 and then rotated 180° clockwise to form PꞌꞌQꞌꞌRꞌꞌSꞌꞌ.

Answer 1

To determine the scale factor you would figure out the length of the original which would be SR and of the second image RS....once this is determined you would set it up in this fraction....

\(\Huge{\frac{image}{original}=scale~factor}\)

Answer 2

okay how do i figure out the length ?

Answer 3

Count across. Or you can subtract to find the distance between.

\(\Huge{SR (original)=-8 - (-4)}\)

\(\Huge{SR (image)= 2 -1}\)

Answer 4

okay so the first one is correct then ,. thanks

Answer 5

wait no the 1/4 one i ment lol

Answer 6

Correct ^^