Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the v

Question

zhenek [66]

3 years ago

9

Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the v

ertices of polygon A′B′C′D′. Tiles A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)

Mathematics

2 answers:

olasank [31] · Answer 1 · 2022-03-20T21:56:14+03:00

olasank [31]3 years ago

4 0

Answer:

A′ = (-1, 1)

B′ = (-2, 1)

C′ = (-2, 2)

D′ = (-1, 3)

Step-by-step explanation:

sdas [7] · Answer 2 · 2022-03-20T20:21:42+03:00

<span>Rules for rotating points about the origin
1. The point (a,b) rotated 90° counterclockwise about the origin
becomes (-b,a).
</span><span>A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)
</span>A (a,b)-----------------A′ (-b,a)=(-1, 3)----------->A( 3,1)
B (a,b)-----------------B′ (-b,a)=(-2, 2)----------->B( 2,2)
C (a,b)-----------------C′ (-b,a)=(-2, 1)----------->C( 1,2)
D (a,b)-----------------D′ (-b,a)=(-1, 1)----------->D( 1,1)