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krok68 [10]
3 years ago
11

Identify the transformation that maps the figure onto itself.

Mathematics
2 answers:
jasenka [17]3 years ago
7 0
The answer for this letter is c
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is clear that the vertices of the parallelogram are (0,0), (0,-6), (4,-8) and (4,-2).

If a figure rotated 180° about (a,b), then

(x,y)\rightarrow (2a-x,2b-y)

If the figure rotated 180° about (2,-4), then

(x,y)\rightarrow (2(2)-x,2(-4)-y)

(x,y)\rightarrow (4-x,-8-y)

So, the vertices of image after rotated 180° about (2,-4) are

(0,0)\rightarrow (4,-8)

(0,-6)\rightarrow (4,-2)

(4,-8)\rightarrow (0,0)

(4,-2)\rightarrow (0,-6)

The vertices of image are same as vertices of preimage. So, 180° rotation about (2,-4) maps the figure onto itself.

Therefore the correct option is C.

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