Question

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.



A.
PQRS was reflected across the y-axis and then dilated by a scale factor of 4 to form PꞌꞌQꞌꞌRꞌꞌSꞌꞌ.

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

C.
PQRS was dilated by a scale factor of and then translated 2 units right and 2 units down to form PꞌꞌQꞌꞌRꞌꞌSꞌꞌ.

D.
PQRS was dilated by a scale f

Answer 1

Trapezoid PQRS is similar to trapezoid PꞌꞌQꞌꞌRꞌꞌSꞌꞌ.

Answer 2

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

Answer 3

compare the length of one side of the original trapezium with the corresponding side of the image. This will give you the scale factor.

Answer 4

can you do that?

Answer 5

is it b and c?

Answer 6

If you try and answer my last question I will guide you to the answer. First lets find the scale factor.

Answer 7

1/4

Answer 8

oh why are the scale factors omitted in b c and d?

Answer 9

Yes the scale factor is 4 The image dimensions are 4 times those of original

Answer 10

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

Answer 11

thats D

Answer 12

No D only dilates the trap - theres another transformation which moves it to the second quadrant

Answer 13

the first part is a dilation factor 4 then another transform.

look at the orientation of the 2 traps
what would produce an image in the other quadrant ?

Answer 14

is it B

Answer 15

Yes

Its rotated 180 degrees clockwise

Answer 16

OK?

Answer 17

so its gonna be A & B

Answer 18

and D

Answer 19

NO B only

Answer 20

oh okay sorry, I did not understand it at first

Answer 21

yw

Answer 22

thanks