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30 points helps What are the coordinates of each vertex if the figure is rotated 180° clockwise about the origin?[G.CO.2, G.CO.4, G.C0.5]

30 Points Helps What Are The Coordinates Of Each Vertex If The Figure Is Rotated 180 Clockwise About The OriginGCO2 GCO4 GC05 class=

Sagot :

The coordinates of each of the vertices after the figure is rotated 180° clockwise about the origin: A' = (2, -2), B' = (-2, -5), C' = (-6, -3), D' = (-4, 3)

Explanation:

The first thing we do is to write the vertices of the original shape:

A = (-2, 2)

B = (2, 5)

C = (6, 3)

D = (4, -3)

A rotation of (x, y) 180° clockwise about the origin = (-x, -y)

We take the negative of the x and y coordinates of the original shape

180° clockwise about the origin becomes:

A' = (-(-2), -2) = (2, -2)

B' = (-2, -5)

C' = (-6, -3)

D' = (-4, -(-3)) = (-4, 3)

The coordinates of each of the vertices after the figure is rotated 180° clockwise about the origin: A' = (2, -2), B' = (-2, -5), C' = (-6, -3), D' = (-4, 3)

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