3 years ago

Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.

Mathematics

1 answer:

Zina [86]3 years ago

5 0

9514 1404 393

Answer:

see below

Step-by-step explanation:

Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...

(x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))

(x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)

It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.

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Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.​

Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.